Greatest Common Factor of 871/963, 532/917, 272/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 871/963, 532/917, 272/502

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 871/963,532/917,272/502

Given fractions are 871/963,532/917,272/502

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 871,532,272

Greatest Common Factor of Numerators i.e. GCF of 871,532,272 is 1 .

LCM of Denominators means LCM of 963,917,502 as per the given fractions.

LCM of 963,917,502 is 443301642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 871,532,272

GCF of Fractions 871/963,532/917,272/502 is 1/443301642

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

Greatest Common Factor of 871,532,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,532,272 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 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 871,532,272 . The biggest common factor number is the GCF number.
So the greatest common factor 871,532,272 is 1.

Lets's calculate LCM of 963,917,502

Given numbers has no common factors except 1. So, there LCM is their product i.e 443301642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/443301642

Therefore, the GCF of Fractions 871/963,532/917,272/502 is 1/443301642

Least Common Multiple of 963,917,502 with GCF Formula

Least Common Multiple of 963,917,502 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 963,917,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,917,502) = 1

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

GCF(963,917,502) x common factors =1 x 1 = 1

LCM(963,917,502) = ( 963 × 917 × 502 ) / 1

LCM(963,917,502) = 443301642 / 1

LCM(963,917,502) = 443301642


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 871/963, 532/917, 272/502

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 871/963, 532/917, 272/502?

Answer: GCF of Numerators as per given numbers 871/963, 532/917, 272/502 is

GCF of Numerators i.e. for 871,532,272 is 1

LCM of denominators i.e. for 963,917,502 is 443301642.

Thus, GCF of Fractions is 1/443301642.Finally, GCF of Fractions for 871/963, 532/917, 272/502 is 1/443301642.