Greatest Common Factor of 7682/720, 5556/8758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7682/720, 5556/8758

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 7682/720,5556/8758

Given fractions are 7682/720,5556/8758

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 7682,5556

Greatest Common Factor of Numerators i.e. GCF of 7682,5556 is 2 .

LCM of Denominators means LCM of 720,8758 as per the given fractions.

LCM of 720,8758 is 3152880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7682,5556

GCF of Fractions 7682/720,5556/8758 is 2/3152880

2 7682, 5556
3841, 2778

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

Greatest Common Factor of 7682,5556 By Matching Biggest Common Factor Method

Greatest Common Factor of 7682,5556 By Matching Biggest Common Factor Method

Factors of 7682

List of positive integer factors of 7682 that divides 7682 without a remainder.

1,2,23,46,167,334,3841,7682

Factors of 5556

List of positive integer factors of 5556 that divides 5556 without a remainder.

1,2,3,4,6,12,463,926,1389,1852,2778,5556

Greatest Common Factor

We found the factors 7682,5556 . The biggest common factor number is the GCF number.
So the greatest common factor 7682,5556 is 2.

Lets's calculate LCM of 720,8758

2 720, 8758
360, 4379

∴ So the LCM of the given numbers is 2 x 360 x 4379 = 3152880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3152880

Therefore, the GCF of Fractions 7682/720,5556/8758 is 2/3152880

Least Common Multiple of 720,8758 with GCF Formula

Least Common Multiple of 720,8758 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 720,8758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,8758) = 2

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

GCF(720,8758) x common factors =2 x 1 = 2

LCM(720,8758) = ( 720 × 8758 ) / 2

LCM(720,8758) = 6305760 / 2

LCM(720,8758) = 3152880


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 7682/720, 5556/8758

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 7682/720, 5556/8758?

Answer: GCF of Numerators as per given numbers 7682/720, 5556/8758 is

GCF of Numerators i.e. for 7682,5556 is 2

LCM of denominators i.e. for 720,8758 is 3152880.

Thus, GCF of Fractions is 2/3152880.Finally, GCF of Fractions for 7682/720, 5556/8758 is 2/3152880.