Greatest Common Factor of 8251/54, 6356/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8251/54, 6356/680

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 8251/54,6356/680

Given fractions are 8251/54,6356/680

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 8251,6356

Greatest Common Factor of Numerators i.e. GCF of 8251,6356 is 1 .

LCM of Denominators means LCM of 54,680 as per the given fractions.

LCM of 54,680 is 18360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8251,6356

GCF of Fractions 8251/54,6356/680 is 1/18360

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

Greatest Common Factor of 8251,6356 By Matching Biggest Common Factor Method

Greatest Common Factor of 8251,6356 By Matching Biggest Common Factor Method

Factors of 8251

List of positive integer factors of 8251 that divides 8251 without a remainder.

1,37,223,8251

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1,2,4,7,14,28,227,454,908,1589,3178,6356

Greatest Common Factor

We found the factors 8251,6356 . The biggest common factor number is the GCF number.
So the greatest common factor 8251,6356 is 1.

Lets's calculate LCM of 54,680

2 54, 680
27, 340

∴ So the LCM of the given numbers is 2 x 27 x 340 = 18360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18360

Therefore, the GCF of Fractions 8251/54,6356/680 is 1/18360

Least Common Multiple of 54,680 with GCF Formula

Least Common Multiple of 54,680 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 54,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,680) = 2

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

GCF(54,680) x common factors =2 x 1 = 2

LCM(54,680) = ( 54 × 680 ) / 2

LCM(54,680) = 36720 / 2

LCM(54,680) = 18360


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 8251/54, 6356/680

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 8251/54, 6356/680?

Answer: GCF of Numerators as per given numbers 8251/54, 6356/680 is

GCF of Numerators i.e. for 8251,6356 is 1

LCM of denominators i.e. for 54,680 is 18360.

Thus, GCF of Fractions is 1/18360.Finally, GCF of Fractions for 8251/54, 6356/680 is 1/18360.