Greatest Common Factor of 252/1724, 820/6696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/1724, 820/6696

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 252/1724,820/6696

Given fractions are 252/1724,820/6696

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 252,820

Greatest Common Factor of Numerators i.e. GCF of 252,820 is 4 .

LCM of Denominators means LCM of 1724,6696 as per the given fractions.

LCM of 1724,6696 is 2885976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,820

GCF of Fractions 252/1724,820/6696 is 4/2885976

2 252, 820
2 126, 410
63, 205

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 252,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,820 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

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

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 252,820 . The biggest common factor number is the GCF number.
So the greatest common factor 252,820 is 4.

Lets's calculate LCM of 1724,6696

2 1724, 6696
2 862, 3348
431, 1674

∴ So the LCM of the given numbers is 2 x 2 x 431 x 1674 = 2885976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2885976

Therefore, the GCF of Fractions 252/1724,820/6696 is 4/2885976

Least Common Multiple of 1724,6696 with GCF Formula

Least Common Multiple of 1724,6696 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 1724,6696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1724,6696) = 4

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

GCF(1724,6696) x common factors =4 x 1 = 4

LCM(1724,6696) = ( 1724 × 6696 ) / 4

LCM(1724,6696) = 11543904 / 4

LCM(1724,6696) = 2885976


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 252/1724, 820/6696

1. 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.

2. What is the GCF of Fractions for 252/1724, 820/6696?

Answer: GCF of Numerators as per given numbers 252/1724, 820/6696 is

GCF of Numerators i.e. for 252,820 is 4

LCM of denominators i.e. for 1724,6696 is 2885976.

Thus, GCF of Fractions is 4/2885976.Finally, GCF of Fractions for 252/1724, 820/6696 is 4/2885976.