Greatest Common Factor of 8610/277, 7231/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8610/277, 7231/143

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 8610/277,7231/143

Given fractions are 8610/277,7231/143

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 8610,7231

Greatest Common Factor of Numerators i.e. GCF of 8610,7231 is 7 .

LCM of Denominators means LCM of 277,143 as per the given fractions.

LCM of 277,143 is 39611 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8610,7231

GCF of Fractions 8610/277,7231/143 is 7/39611

7 8610, 7231
1230, 1033

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8610,7231 By Matching Biggest Common Factor Method

Greatest Common Factor of 8610,7231 By Matching Biggest Common Factor Method

Factors of 8610

List of positive integer factors of 8610 that divides 8610 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610

Factors of 7231

List of positive integer factors of 7231 that divides 7231 without a remainder.

1,7,1033,7231

Greatest Common Factor

We found the factors 8610,7231 . The biggest common factor number is the GCF number.
So the greatest common factor 8610,7231 is 7.

Lets's calculate LCM of 277,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 39611

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/39611

Therefore, the GCF of Fractions 8610/277,7231/143 is 7/39611

Least Common Multiple of 277,143 with GCF Formula

Least Common Multiple of 277,143 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 277,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,143) = 1

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

GCF(277,143) x common factors =1 x 1 = 1

LCM(277,143) = ( 277 × 143 ) / 1

LCM(277,143) = 39611 / 1

LCM(277,143) = 39611


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 8610/277, 7231/143

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 8610/277, 7231/143?

Answer: GCF of Numerators as per given numbers 8610/277, 7231/143 is

GCF of Numerators i.e. for 8610,7231 is 7

LCM of denominators i.e. for 277,143 is 39611.

Thus, GCF of Fractions is 7/39611.Finally, GCF of Fractions for 8610/277, 7231/143 is 7/39611.