Greatest Common Factor of 3776/251, 7328/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3776/251, 7328/429

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 3776/251,7328/429

Given fractions are 3776/251,7328/429

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 3776,7328

Greatest Common Factor of Numerators i.e. GCF of 3776,7328 is 32 .

LCM of Denominators means LCM of 251,429 as per the given fractions.

LCM of 251,429 is 107679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3776,7328

GCF of Fractions 3776/251,7328/429 is 32/107679

2 3776, 7328
2 1888, 3664
2 944, 1832
2 472, 916
2 236, 458
118, 229

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 3776,7328 By Matching Biggest Common Factor Method

Greatest Common Factor of 3776,7328 By Matching Biggest Common Factor Method

Factors of 3776

List of positive integer factors of 3776 that divides 3776 without a remainder.

1,2,4,8,16,32,59,64,118,236,472,944,1888,3776

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Greatest Common Factor

We found the factors 3776,7328 . The biggest common factor number is the GCF number.
So the greatest common factor 3776,7328 is 32.

Lets's calculate LCM of 251,429

Given numbers has no common factors except 1. So, there LCM is their product i.e 107679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/107679

Therefore, the GCF of Fractions 3776/251,7328/429 is 32/107679

Least Common Multiple of 251,429 with GCF Formula

Least Common Multiple of 251,429 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 251,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,429) = 1

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

GCF(251,429) x common factors =1 x 1 = 1

LCM(251,429) = ( 251 × 429 ) / 1

LCM(251,429) = 107679 / 1

LCM(251,429) = 107679


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 3776/251, 7328/429

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 3776/251, 7328/429?

Answer: GCF of Numerators as per given numbers 3776/251, 7328/429 is

GCF of Numerators i.e. for 3776,7328 is 32

LCM of denominators i.e. for 251,429 is 107679.

Thus, GCF of Fractions is 32/107679.Finally, GCF of Fractions for 3776/251, 7328/429 is 32/107679.