Greatest Common Factor of 124/945, 2883/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 124/945, 2883/561

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 124/945,2883/561

Given fractions are 124/945,2883/561

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 124,2883

Greatest Common Factor of Numerators i.e. GCF of 124,2883 is 31 .

LCM of Denominators means LCM of 945,561 as per the given fractions.

LCM of 945,561 is 176715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 124,2883

GCF of Fractions 124/945,2883/561 is 31/176715

31 124, 2883
4, 93

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 124,2883 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,2883 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 2883

List of positive integer factors of 2883 that divides 2883 without a remainder.

1,3,31,93,961,2883

Greatest Common Factor

We found the factors 124,2883 . The biggest common factor number is the GCF number.
So the greatest common factor 124,2883 is 31.

Lets's calculate LCM of 945,561

3 945, 561
315, 187

∴ So the LCM of the given numbers is 3 x 315 x 187 = 176715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/176715

Therefore, the GCF of Fractions 124/945,2883/561 is 31/176715

Least Common Multiple of 945,561 with GCF Formula

Least Common Multiple of 945,561 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 945,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,561) = 3

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

GCF(945,561) x common factors =3 x 1 = 3

LCM(945,561) = ( 945 × 561 ) / 3

LCM(945,561) = 530145 / 3

LCM(945,561) = 176715


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 124/945, 2883/561

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 124/945, 2883/561?

Answer: GCF of Numerators as per given numbers 124/945, 2883/561 is

GCF of Numerators i.e. for 124,2883 is 31

LCM of denominators i.e. for 945,561 is 176715.

Thus, GCF of Fractions is 31/176715.Finally, GCF of Fractions for 124/945, 2883/561 is 31/176715.