Greatest Common Factor of 5749/656, 5120/7746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5749/656, 5120/7746

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 5749/656,5120/7746

Given fractions are 5749/656,5120/7746

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 5749,5120

Greatest Common Factor of Numerators i.e. GCF of 5749,5120 is 1 .

LCM of Denominators means LCM of 656,7746 as per the given fractions.

LCM of 656,7746 is 2540688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5749,5120

GCF of Fractions 5749/656,5120/7746 is 1/2540688

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5749,5120 By Matching Biggest Common Factor Method

Greatest Common Factor of 5749,5120 By Matching Biggest Common Factor Method

Factors of 5749

List of positive integer factors of 5749 that divides 5749 without a remainder.

1,5749

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120

Greatest Common Factor

We found the factors 5749,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 5749,5120 is 1.

Lets's calculate LCM of 656,7746

2 656, 7746
328, 3873

∴ So the LCM of the given numbers is 2 x 328 x 3873 = 2540688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2540688

Therefore, the GCF of Fractions 5749/656,5120/7746 is 1/2540688

Least Common Multiple of 656,7746 with GCF Formula

Least Common Multiple of 656,7746 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 656,7746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,7746) = 2

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

GCF(656,7746) x common factors =2 x 1 = 2

LCM(656,7746) = ( 656 × 7746 ) / 2

LCM(656,7746) = 5081376 / 2

LCM(656,7746) = 2540688


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 5749/656, 5120/7746

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 5749/656, 5120/7746?

Answer: GCF of Numerators as per given numbers 5749/656, 5120/7746 is

GCF of Numerators i.e. for 5749,5120 is 1

LCM of denominators i.e. for 656,7746 is 2540688.

Thus, GCF of Fractions is 1/2540688.Finally, GCF of Fractions for 5749/656, 5120/7746 is 1/2540688.