Greatest Common Factor of 871/751, 9921/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/751, 9921/548

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 871/751,9921/548

Given fractions are 871/751,9921/548

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 871,9921

Greatest Common Factor of Numerators i.e. GCF of 871,9921 is 1 .

LCM of Denominators means LCM of 751,548 as per the given fractions.

LCM of 751,548 is 411548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,9921

GCF of Fractions 871/751,9921/548 is 1/411548

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

Greatest Common Factor of 871,9921 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,9921 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Greatest Common Factor

We found the factors 871,9921 . The biggest common factor number is the GCF number.
So the greatest common factor 871,9921 is 1.

Lets's calculate LCM of 751,548

Given numbers has no common factors except 1. So, there LCM is their product i.e 411548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411548

Therefore, the GCF of Fractions 871/751,9921/548 is 1/411548

Least Common Multiple of 751,548 with GCF Formula

Least Common Multiple of 751,548 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 751,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,548) = 1

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

GCF(751,548) x common factors =1 x 1 = 1

LCM(751,548) = ( 751 × 548 ) / 1

LCM(751,548) = 411548 / 1

LCM(751,548) = 411548


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 871/751, 9921/548

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 871/751, 9921/548?

Answer: GCF of Numerators as per given numbers 871/751, 9921/548 is

GCF of Numerators i.e. for 871,9921 is 1

LCM of denominators i.e. for 751,548 is 411548.

Thus, GCF of Fractions is 1/411548.Finally, GCF of Fractions for 871/751, 9921/548 is 1/411548.