Greatest Common Factor of 867/31, 2278/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/31, 2278/557

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 867/31,2278/557

Given fractions are 867/31,2278/557

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 867,2278

Greatest Common Factor of Numerators i.e. GCF of 867,2278 is 17 .

LCM of Denominators means LCM of 31,557 as per the given fractions.

LCM of 31,557 is 17267 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,2278

GCF of Fractions 867/31,2278/557 is 17/17267

17 867, 2278
51, 134

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 867,2278 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,2278 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 2278

List of positive integer factors of 2278 that divides 2278 without a remainder.

1,2,17,34,67,134,1139,2278

Greatest Common Factor

We found the factors 867,2278 . The biggest common factor number is the GCF number.
So the greatest common factor 867,2278 is 17.

Lets's calculate LCM of 31,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 17267

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/17267

Therefore, the GCF of Fractions 867/31,2278/557 is 17/17267

Least Common Multiple of 31,557 with GCF Formula

Least Common Multiple of 31,557 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 31,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,557) = 1

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

GCF(31,557) x common factors =1 x 1 = 1

LCM(31,557) = ( 31 × 557 ) / 1

LCM(31,557) = 17267 / 1

LCM(31,557) = 17267


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 867/31, 2278/557

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 867/31, 2278/557?

Answer: GCF of Numerators as per given numbers 867/31, 2278/557 is

GCF of Numerators i.e. for 867,2278 is 17

LCM of denominators i.e. for 31,557 is 17267.

Thus, GCF of Fractions is 17/17267.Finally, GCF of Fractions for 867/31, 2278/557 is 17/17267.