Math How To Find Hcf Using Division By Common Factors Method We use the repeated division method for finding highest common factor (h.c.f) of two or more numbers. to find highest common factor by using division method we follow these steps: step i: divide the large number by the smaller one. step ii: then the remainder is treated as divisor and the divisor as dividend. step iii:. Hcf by division method. you have understood by now the method of finding the highest common factor using prime factorization. now let us learn here to find hcf using the division method. basically, the division method is nothing but dividing the given numbers, simultaneously, to get the common factors between them.
Method Of H C F Highest Common Factor Factorization Division Example: find the hcf of 198 and 360 using the division method. solution: let us find the hcf of the given numbers using the following steps. step 1: among the two given numbers, 360 is the larger number, and 198 is the smaller number. step 2: we divide 360 by 198 and check the remainder. Step 2: replace the larger number with the smaller number and the smaller number with the remainder obtained. step 3: repeat the process, dividing the new larger number by the new smaller number. step 4: continue until the remainder becomes zero. step 5: the divisor at this point is the hcf of the two numbers. for example:. This means that 3 is the highest common factor of 15 and 18 or hcf (15, 18) = 3. example 2: using a table. let us use 15 and 18 again to see the difference of this method from the factor tree method. for the table method, we need to make a table with two columns putting the number to be factored on the top right. To find the h.c.f. of two or more numbers using the common division method, we follow the following steps: step 1: identify a common prime factor of the given numbers. step 2: divide the given numbers by the common factor and write the resultant quotients. step 3: obtain a common factor of the resultant quotients.
Highest Common Factor By Division Method How To Find Hcf о This means that 3 is the highest common factor of 15 and 18 or hcf (15, 18) = 3. example 2: using a table. let us use 15 and 18 again to see the difference of this method from the factor tree method. for the table method, we need to make a table with two columns putting the number to be factored on the top right. To find the h.c.f. of two or more numbers using the common division method, we follow the following steps: step 1: identify a common prime factor of the given numbers. step 2: divide the given numbers by the common factor and write the resultant quotients. step 3: obtain a common factor of the resultant quotients. Let us solve an example when we need to find the hcf of three numbers. example: find the hcf of 126, 162 and 180. solution: by prime factorisation, we can write the given numbers as; 126 = 2x3x3x7. 162 = 2x3x3x3x3. 180 = 2x2x3x3x5. taking out the common factors of 126, 162 an d180, we get: hcf (126,162,180) = 2x3x3 = 18. Solution: step 1: to find hcf of 20 and 12, write each number as a product of prime factors. 20 = 2 × 2 × 5 = 2 2 × 5. 12 = 2 × 2 × 3 = 2 2 × 3. step 2: multiply all the common prime factors with the lowest degree. here we have only 2 as a common prime factor with the lowest power of 2. hcf of 20 and 12 = 2 2 = 4.
Highest Common Factor Examples Solutions Videos Worksheets Games Let us solve an example when we need to find the hcf of three numbers. example: find the hcf of 126, 162 and 180. solution: by prime factorisation, we can write the given numbers as; 126 = 2x3x3x7. 162 = 2x3x3x3x3. 180 = 2x2x3x3x5. taking out the common factors of 126, 162 an d180, we get: hcf (126,162,180) = 2x3x3 = 18. Solution: step 1: to find hcf of 20 and 12, write each number as a product of prime factors. 20 = 2 × 2 × 5 = 2 2 × 5. 12 = 2 × 2 × 3 = 2 2 × 3. step 2: multiply all the common prime factors with the lowest degree. here we have only 2 as a common prime factor with the lowest power of 2. hcf of 20 and 12 = 2 2 = 4.
Hcf Highest Common Factor Definition How To Find Hcf Hcf E
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