Greatest Common Factor of 5517/31, 4418/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5517/31, 4418/974

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 5517/31,4418/974

Given fractions are 5517/31,4418/974

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 5517,4418

Greatest Common Factor of Numerators i.e. GCF of 5517,4418 is 1 .

LCM of Denominators means LCM of 31,974 as per the given fractions.

LCM of 31,974 is 30194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5517,4418

GCF of Fractions 5517/31,4418/974 is 1/30194

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

Greatest Common Factor of 5517,4418 By Matching Biggest Common Factor Method

Greatest Common Factor of 5517,4418 By Matching Biggest Common Factor Method

Factors of 5517

List of positive integer factors of 5517 that divides 5517 without a remainder.

1,3,9,613,1839,5517

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1,2,47,94,2209,4418

Greatest Common Factor

We found the factors 5517,4418 . The biggest common factor number is the GCF number.
So the greatest common factor 5517,4418 is 1.

Lets's calculate LCM of 31,974

Given numbers has no common factors except 1. So, there LCM is their product i.e 30194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30194

Therefore, the GCF of Fractions 5517/31,4418/974 is 1/30194

Least Common Multiple of 31,974 with GCF Formula

Least Common Multiple of 31,974 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 31,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,974) = 1

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

GCF(31,974) x common factors =1 x 1 = 1

LCM(31,974) = ( 31 × 974 ) / 1

LCM(31,974) = 30194 / 1

LCM(31,974) = 30194


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 5517/31, 4418/974

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 5517/31, 4418/974?

Answer: GCF of Numerators as per given numbers 5517/31, 4418/974 is

GCF of Numerators i.e. for 5517,4418 is 1

LCM of denominators i.e. for 31,974 is 30194.

Thus, GCF of Fractions is 1/30194.Finally, GCF of Fractions for 5517/31, 4418/974 is 1/30194.