Greatest Common Factor of 7680/688, 5642/4251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7680/688, 5642/4251

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 7680/688,5642/4251

Given fractions are 7680/688,5642/4251

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 7680,5642

Greatest Common Factor of Numerators i.e. GCF of 7680,5642 is 2 .

LCM of Denominators means LCM of 688,4251 as per the given fractions.

LCM of 688,4251 is 2924688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7680,5642

GCF of Fractions 7680/688,5642/4251 is 2/2924688

2 7680, 5642
3840, 2821

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

Greatest Common Factor of 7680,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 7680,5642 By Matching Biggest Common Factor Method

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 7680,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 7680,5642 is 2.

Lets's calculate LCM of 688,4251

Given numbers has no common factors except 1. So, there LCM is their product i.e 2924688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2924688

Therefore, the GCF of Fractions 7680/688,5642/4251 is 2/2924688

Least Common Multiple of 688,4251 with GCF Formula

Least Common Multiple of 688,4251 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 688,4251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,4251) = 1

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

GCF(688,4251) x common factors =1 x 1 = 1

LCM(688,4251) = ( 688 × 4251 ) / 1

LCM(688,4251) = 2924688 / 1

LCM(688,4251) = 2924688


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 7680/688, 5642/4251

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 7680/688, 5642/4251?

Answer: GCF of Numerators as per given numbers 7680/688, 5642/4251 is

GCF of Numerators i.e. for 7680,5642 is 2

LCM of denominators i.e. for 688,4251 is 2924688.

Thus, GCF of Fractions is 2/2924688.Finally, GCF of Fractions for 7680/688, 5642/4251 is 2/2924688.