Greatest Common Factor of 8953/560, 8660/5121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8953/560, 8660/5121

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 8953/560,8660/5121

Given fractions are 8953/560,8660/5121

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 8953,8660

Greatest Common Factor of Numerators i.e. GCF of 8953,8660 is 1 .

LCM of Denominators means LCM of 560,5121 as per the given fractions.

LCM of 560,5121 is 2867760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8953,8660

GCF of Fractions 8953/560,8660/5121 is 1/2867760

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

Greatest Common Factor of 8953,8660 By Matching Biggest Common Factor Method

Greatest Common Factor of 8953,8660 By Matching Biggest Common Factor Method

Factors of 8953

List of positive integer factors of 8953 that divides 8953 without a remainder.

1,7,1279,8953

Factors of 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1,2,4,5,10,20,433,866,1732,2165,4330,8660

Greatest Common Factor

We found the factors 8953,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 8953,8660 is 1.

Lets's calculate LCM of 560,5121

Given numbers has no common factors except 1. So, there LCM is their product i.e 2867760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2867760

Therefore, the GCF of Fractions 8953/560,8660/5121 is 1/2867760

Least Common Multiple of 560,5121 with GCF Formula

Least Common Multiple of 560,5121 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 560,5121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,5121) = 1

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

GCF(560,5121) x common factors =1 x 1 = 1

LCM(560,5121) = ( 560 × 5121 ) / 1

LCM(560,5121) = 2867760 / 1

LCM(560,5121) = 2867760


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 8953/560, 8660/5121

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 8953/560, 8660/5121?

Answer: GCF of Numerators as per given numbers 8953/560, 8660/5121 is

GCF of Numerators i.e. for 8953,8660 is 1

LCM of denominators i.e. for 560,5121 is 2867760.

Thus, GCF of Fractions is 1/2867760.Finally, GCF of Fractions for 8953/560, 8660/5121 is 1/2867760.