Greatest Common Factor of 1110/502, 5211/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1110/502, 5211/311

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 1110/502,5211/311

Given fractions are 1110/502,5211/311

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 1110,5211

Greatest Common Factor of Numerators i.e. GCF of 1110,5211 is 3 .

LCM of Denominators means LCM of 502,311 as per the given fractions.

LCM of 502,311 is 156122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1110,5211

GCF of Fractions 1110/502,5211/311 is 3/156122

3 1110, 5211
370, 1737

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1110,5211 By Matching Biggest Common Factor Method

Greatest Common Factor of 1110,5211 By Matching Biggest Common Factor Method

Factors of 1110

List of positive integer factors of 1110 that divides 1110 without a remainder.

1,2,3,5,6,10,15,30,37,74,111,185,222,370,555,1110

Factors of 5211

List of positive integer factors of 5211 that divides 5211 without a remainder.

1,3,9,27,193,579,1737,5211

Greatest Common Factor

We found the factors 1110,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 1110,5211 is 3.

Lets's calculate LCM of 502,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 156122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/156122

Therefore, the GCF of Fractions 1110/502,5211/311 is 3/156122

Least Common Multiple of 502,311 with GCF Formula

Least Common Multiple of 502,311 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 502,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,311) = 1

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

GCF(502,311) x common factors =1 x 1 = 1

LCM(502,311) = ( 502 × 311 ) / 1

LCM(502,311) = 156122 / 1

LCM(502,311) = 156122


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 1110/502, 5211/311

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 1110/502, 5211/311?

Answer: GCF of Numerators as per given numbers 1110/502, 5211/311 is

GCF of Numerators i.e. for 1110,5211 is 3

LCM of denominators i.e. for 502,311 is 156122.

Thus, GCF of Fractions is 3/156122.Finally, GCF of Fractions for 1110/502, 5211/311 is 3/156122.