Greatest Common Factor of 6481/77, 7626/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6481/77, 7626/658

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 6481/77,7626/658

Given fractions are 6481/77,7626/658

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 6481,7626

Greatest Common Factor of Numerators i.e. GCF of 6481,7626 is 1 .

LCM of Denominators means LCM of 77,658 as per the given fractions.

LCM of 77,658 is 7238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6481,7626

GCF of Fractions 6481/77,7626/658 is 1/7238

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

Greatest Common Factor of 6481,7626 By Matching Biggest Common Factor Method

Greatest Common Factor of 6481,7626 By Matching Biggest Common Factor Method

Factors of 6481

List of positive integer factors of 6481 that divides 6481 without a remainder.

1,6481

Factors of 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1,2,3,6,31,41,62,82,93,123,186,246,1271,2542,3813,7626

Greatest Common Factor

We found the factors 6481,7626 . The biggest common factor number is the GCF number.
So the greatest common factor 6481,7626 is 1.

Lets's calculate LCM of 77,658

7 77, 658
11, 94

∴ So the LCM of the given numbers is 7 x 11 x 94 = 7238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7238

Therefore, the GCF of Fractions 6481/77,7626/658 is 1/7238

Least Common Multiple of 77,658 with GCF Formula

Least Common Multiple of 77,658 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 77,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,658) = 7

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

GCF(77,658) x common factors =7 x 1 = 7

LCM(77,658) = ( 77 × 658 ) / 7

LCM(77,658) = 50666 / 7

LCM(77,658) = 7238


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 6481/77, 7626/658

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 6481/77, 7626/658?

Answer: GCF of Numerators as per given numbers 6481/77, 7626/658 is

GCF of Numerators i.e. for 6481,7626 is 1

LCM of denominators i.e. for 77,658 is 7238.

Thus, GCF of Fractions is 1/7238.Finally, GCF of Fractions for 6481/77, 7626/658 is 1/7238.