Greatest Common Factor of 143/868, 8925/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 143/868, 8925/651

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 143/868,8925/651

Given fractions are 143/868,8925/651

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 143,8925

Greatest Common Factor of Numerators i.e. GCF of 143,8925 is 1 .

LCM of Denominators means LCM of 868,651 as per the given fractions.

LCM of 868,651 is 2604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 143,8925

GCF of Fractions 143/868,8925/651 is 1/2604

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

Greatest Common Factor of 143,8925 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,8925 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925

Greatest Common Factor

We found the factors 143,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 143,8925 is 1.

Lets's calculate LCM of 868,651

7 868, 651
31 124, 93
4, 3

∴ So the LCM of the given numbers is 7 x 31 x 4 x 3 = 2604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2604

Therefore, the GCF of Fractions 143/868,8925/651 is 1/2604

Least Common Multiple of 868,651 with GCF Formula

Least Common Multiple of 868,651 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 868,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,651) = 217

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

GCF(868,651) x common factors =217 x 1 = 217

LCM(868,651) = ( 868 × 651 ) / 217

LCM(868,651) = 565068 / 217

LCM(868,651) = 2604


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 143/868, 8925/651

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 143/868, 8925/651?

Answer: GCF of Numerators as per given numbers 143/868, 8925/651 is

GCF of Numerators i.e. for 143,8925 is 1

LCM of denominators i.e. for 868,651 is 2604.

Thus, GCF of Fractions is 1/2604.Finally, GCF of Fractions for 143/868, 8925/651 is 1/2604.