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GCF of 648/566, 156/538

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 648/566, 156/538 i.e 12/152254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 648/566, 156/538.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 648/566,156/538?

Given fractions are 648/566,156/538

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 648/566,156/538, numerators are 648,156

Denominators are 566,538

The GCF of 648,156 is 12 .

LCM of 566,538 is 152254.

The greatest common factor of 648/566,156/538 = [GCF of 648,156]/[LCM of 566,538]= 12/152254

Therefore, the GCF of 648/566,156/538 is 12/152254.

Greatest Common Factor of 648,156

To find the highest common factor of 648,156, we have to find the factors of both numbers and list the highest common factor.

The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The HCF of 648,156 is 12.

Lets's calculate GCF of 648,156

Greatest Common Factor (GCF) of 648,156 By Common Division

2 648, 156
2 324, 78
3 162, 39
54, 13

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 648,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,156 By Matching Biggest Common Factor Method

Now, list down the factors of 648

:

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Now, list down the factors of 156

:

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 648,156 . The biggest common factor number is the GCF number.
So the greatest common factor 648,156 is 12.


Lets's calculate LCM of 566,538

Lowest Common Multiple of 566,538 using Common Division

2 566, 538
283, 269

∴ So the LCM of the given numbers is 2 x 283 x 269 = 152254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/152254

Therefore, the GCF of Fractions 648/566,156/538 is 12/152254

Least Common Multiple of 566,538 with GCF Formula

Least Common Multiple of 566,538 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 566,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,538) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(566,538) x common factors =2 x 1 = 2

LCM(566,538) = ( 566 × 538 ) / 2

LCM(566,538) = 304508 / 2

LCM(566,538) = 152254


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 648/566, 156/538

1. What is the HCF of 648,156?

The HCF of 648,156 is 12

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 648/566, 156/538?

Answer: GCF of Numerators as per given numbers 648/566, 156/538 is

GCF of Numerators i.e. for 648,156 is 12

LCM of denominators i.e. for 566,538 is 152254.

Thus, GCF of Fractions is 12/152254.Finally, GCF of Fractions for 648/566, 156/538 is 12/152254.