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GCF of 252/157, 324/864

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 252/157, 324/864 i.e 36/135648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/157, 324/864.

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 252/157,324/864?

Given fractions are 252/157,324/864

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 252/157,324/864, numerators are 252,324

Denominators are 157,864

The GCF of 252,324 is 36 .

LCM of 157,864 is 135648.

The greatest common factor of 252/157,324/864 = [GCF of 252,324]/[LCM of 157,864]= 36/135648

Therefore, the GCF of 252/157,324/864 is 36/135648.

Greatest Common Factor of 252,324

To find the highest common factor of 252,324, we have to find the factors of both numbers and list the highest common factor.

The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

The HCF of 252,324 is 36.

Lets's calculate GCF of 252,324

Greatest Common Factor (GCF) of 252,324 By Common Division

2 252, 324
2 126, 162
3 63, 81
3 21, 27
7, 9

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 252,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,324 By Matching Biggest Common Factor Method

Now, list down the factors of 252

:

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Now, list down the factors of 324

:

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 252,324 . The biggest common factor number is the GCF number.
So the greatest common factor 252,324 is 36.


Lets's calculate LCM of 157,864

Lowest Common Multiple of 157,864 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 135648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/135648

Therefore, the GCF of Fractions 252/157,324/864 is 36/135648

Least Common Multiple of 157,864 with GCF Formula

Least Common Multiple of 157,864 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 157,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,864) = 1

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

GCF(157,864) x common factors =1 x 1 = 1

LCM(157,864) = ( 157 × 864 ) / 1

LCM(157,864) = 135648 / 1

LCM(157,864) = 135648


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 252/157, 324/864

1. What is the HCF of 252,324?

The HCF of 252,324 is 36

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 252/157, 324/864?

Answer: GCF of Numerators as per given numbers 252/157, 324/864 is

GCF of Numerators i.e. for 252,324 is 36

LCM of denominators i.e. for 157,864 is 135648.

Thus, GCF of Fractions is 36/135648.Finally, GCF of Fractions for 252/157, 324/864 is 36/135648.