Greatest Common Factor of 928/42, 2174/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 928/42, 2174/561

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 928/42,2174/561

Given fractions are 928/42,2174/561

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 928,2174

Greatest Common Factor of Numerators i.e. GCF of 928,2174 is 2 .

LCM of Denominators means LCM of 42,561 as per the given fractions.

LCM of 42,561 is 7854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,2174

GCF of Fractions 928/42,2174/561 is 2/7854

2 928, 2174
464, 1087

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 928,2174 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,2174 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1,2,1087,2174

Greatest Common Factor

We found the factors 928,2174 . The biggest common factor number is the GCF number.
So the greatest common factor 928,2174 is 2.

Lets's calculate LCM of 42,561

3 42, 561
14, 187

∴ So the LCM of the given numbers is 3 x 14 x 187 = 7854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7854

Therefore, the GCF of Fractions 928/42,2174/561 is 2/7854

Least Common Multiple of 42,561 with GCF Formula

Least Common Multiple of 42,561 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 42,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,561) = 3

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

GCF(42,561) x common factors =3 x 1 = 3

LCM(42,561) = ( 42 × 561 ) / 3

LCM(42,561) = 23562 / 3

LCM(42,561) = 7854


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 928/42, 2174/561

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 928/42, 2174/561?

Answer: GCF of Numerators as per given numbers 928/42, 2174/561 is

GCF of Numerators i.e. for 928,2174 is 2

LCM of denominators i.e. for 42,561 is 7854.

Thus, GCF of Fractions is 2/7854.Finally, GCF of Fractions for 928/42, 2174/561 is 2/7854.