Greatest Common Factor of 100/3492, 252/9724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/3492, 252/9724

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 100/3492,252/9724

Given fractions are 100/3492,252/9724

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 100,252

Greatest Common Factor of Numerators i.e. GCF of 100,252 is 4 .

LCM of Denominators means LCM of 3492,9724 as per the given fractions.

LCM of 3492,9724 is 8489052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,252

GCF of Fractions 100/3492,252/9724 is 4/8489052

2 100, 252
2 50, 126
25, 63

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

Greatest Common Factor of 100,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,252 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

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

Greatest Common Factor

We found the factors 100,252 . The biggest common factor number is the GCF number.
So the greatest common factor 100,252 is 4.

Lets's calculate LCM of 3492,9724

2 3492, 9724
2 1746, 4862
873, 2431

∴ So the LCM of the given numbers is 2 x 2 x 873 x 2431 = 8489052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8489052

Therefore, the GCF of Fractions 100/3492,252/9724 is 4/8489052

Least Common Multiple of 3492,9724 with GCF Formula

Least Common Multiple of 3492,9724 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 3492,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3492,9724) = 4

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

GCF(3492,9724) x common factors =4 x 1 = 4

LCM(3492,9724) = ( 3492 × 9724 ) / 4

LCM(3492,9724) = 33956208 / 4

LCM(3492,9724) = 8489052


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 100/3492, 252/9724

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 100/3492, 252/9724?

Answer: GCF of Numerators as per given numbers 100/3492, 252/9724 is

GCF of Numerators i.e. for 100,252 is 4

LCM of denominators i.e. for 3492,9724 is 8489052.

Thus, GCF of Fractions is 4/8489052.Finally, GCF of Fractions for 100/3492, 252/9724 is 4/8489052.