Greatest Common Factor of 4188/762, 7524/8202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4188/762, 7524/8202

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 4188/762,7524/8202

Given fractions are 4188/762,7524/8202

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 4188,7524

Greatest Common Factor of Numerators i.e. GCF of 4188,7524 is 12 .

LCM of Denominators means LCM of 762,8202 as per the given fractions.

LCM of 762,8202 is 1041654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4188,7524

GCF of Fractions 4188/762,7524/8202 is 12/1041654

2 4188, 7524
2 2094, 3762
3 1047, 1881
349, 627

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

Greatest Common Factor of 4188,7524 By Matching Biggest Common Factor Method

Greatest Common Factor of 4188,7524 By Matching Biggest Common Factor Method

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1,2,3,4,6,12,349,698,1047,1396,2094,4188

Factors of 7524

List of positive integer factors of 7524 that divides 7524 without a remainder.

1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524

Greatest Common Factor

We found the factors 4188,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 4188,7524 is 12.

Lets's calculate LCM of 762,8202

2 762, 8202
3 381, 4101
127, 1367

∴ So the LCM of the given numbers is 2 x 3 x 127 x 1367 = 1041654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1041654

Therefore, the GCF of Fractions 4188/762,7524/8202 is 12/1041654

Least Common Multiple of 762,8202 with GCF Formula

Least Common Multiple of 762,8202 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 762,8202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,8202) = 6

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

GCF(762,8202) x common factors =6 x 1 = 6

LCM(762,8202) = ( 762 × 8202 ) / 6

LCM(762,8202) = 6249924 / 6

LCM(762,8202) = 1041654


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4188/762, 7524/8202

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 4188/762, 7524/8202?

Answer: GCF of Numerators as per given numbers 4188/762, 7524/8202 is

GCF of Numerators i.e. for 4188,7524 is 12

LCM of denominators i.e. for 762,8202 is 1041654.

Thus, GCF of Fractions is 12/1041654.Finally, GCF of Fractions for 4188/762, 7524/8202 is 12/1041654.