Greatest Common Factor of 875/984, 311/227, 763/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/984, 311/227, 763/517

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 875/984,311/227,763/517

Given fractions are 875/984,311/227,763/517

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 875,311,763

Greatest Common Factor of Numerators i.e. GCF of 875,311,763 is 1 .

LCM of Denominators means LCM of 984,227,517 as per the given fractions.

LCM of 984,227,517 is 115481256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,311,763

GCF of Fractions 875/984,311/227,763/517 is 1/115481256

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

Greatest Common Factor of 875,311,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,311,763 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 875,311,763 . The biggest common factor number is the GCF number.
So the greatest common factor 875,311,763 is 1.

Lets's calculate LCM of 984,227,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 115481256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115481256

Therefore, the GCF of Fractions 875/984,311/227,763/517 is 1/115481256

Least Common Multiple of 984,227,517 with GCF Formula

Least Common Multiple of 984,227,517 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 984,227,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,227,517) = 1

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

GCF(984,227,517) x common factors =1 x 1 = 1

LCM(984,227,517) = ( 984 × 227 × 517 ) / 1

LCM(984,227,517) = 115481256 / 1

LCM(984,227,517) = 115481256


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 875/984, 311/227, 763/517

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 875/984, 311/227, 763/517?

Answer: GCF of Numerators as per given numbers 875/984, 311/227, 763/517 is

GCF of Numerators i.e. for 875,311,763 is 1

LCM of denominators i.e. for 984,227,517 is 115481256.

Thus, GCF of Fractions is 1/115481256.Finally, GCF of Fractions for 875/984, 311/227, 763/517 is 1/115481256.