Greatest Common Factor of 971/878, 561/603, 251/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/878, 561/603, 251/923

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 971/878,561/603,251/923

Given fractions are 971/878,561/603,251/923

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 971,561,251

Greatest Common Factor of Numerators i.e. GCF of 971,561,251 is 1 .

LCM of Denominators means LCM of 878,603,923 as per the given fractions.

LCM of 878,603,923 is 488667582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,561,251

GCF of Fractions 971/878,561/603,251/923 is 1/488667582

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

Greatest Common Factor of 971,561,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,561,251 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 971,561,251 . The biggest common factor number is the GCF number.
So the greatest common factor 971,561,251 is 1.

Lets's calculate LCM of 878,603,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 488667582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488667582

Therefore, the GCF of Fractions 971/878,561/603,251/923 is 1/488667582

Least Common Multiple of 878,603,923 with GCF Formula

Least Common Multiple of 878,603,923 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 878,603,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,603,923) = 1

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

GCF(878,603,923) x common factors =1 x 1 = 1

LCM(878,603,923) = ( 878 × 603 × 923 ) / 1

LCM(878,603,923) = 488667582 / 1

LCM(878,603,923) = 488667582


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 971/878, 561/603, 251/923

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 971/878, 561/603, 251/923?

Answer: GCF of Numerators as per given numbers 971/878, 561/603, 251/923 is

GCF of Numerators i.e. for 971,561,251 is 1

LCM of denominators i.e. for 878,603,923 is 488667582.

Thus, GCF of Fractions is 1/488667582.Finally, GCF of Fractions for 971/878, 561/603, 251/923 is 1/488667582.