Greatest Common Factor of 7022/43, 5660/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7022/43, 5660/117

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 7022/43,5660/117

Given fractions are 7022/43,5660/117

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 7022,5660

Greatest Common Factor of Numerators i.e. GCF of 7022,5660 is 2 .

LCM of Denominators means LCM of 43,117 as per the given fractions.

LCM of 43,117 is 5031 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7022,5660

GCF of Fractions 7022/43,5660/117 is 2/5031

2 7022, 5660
3511, 2830

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7022,5660 By Matching Biggest Common Factor Method

Greatest Common Factor of 7022,5660 By Matching Biggest Common Factor Method

Factors of 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1,2,3511,7022

Factors of 5660

List of positive integer factors of 5660 that divides 5660 without a remainder.

1,2,4,5,10,20,283,566,1132,1415,2830,5660

Greatest Common Factor

We found the factors 7022,5660 . The biggest common factor number is the GCF number.
So the greatest common factor 7022,5660 is 2.

Lets's calculate LCM of 43,117

Given numbers has no common factors except 1. So, there LCM is their product i.e 5031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5031

Therefore, the GCF of Fractions 7022/43,5660/117 is 2/5031

Least Common Multiple of 43,117 with GCF Formula

Least Common Multiple of 43,117 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 43,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,117) = 1

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

GCF(43,117) x common factors =1 x 1 = 1

LCM(43,117) = ( 43 × 117 ) / 1

LCM(43,117) = 5031 / 1

LCM(43,117) = 5031


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 7022/43, 5660/117

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 7022/43, 5660/117?

Answer: GCF of Numerators as per given numbers 7022/43, 5660/117 is

GCF of Numerators i.e. for 7022,5660 is 2

LCM of denominators i.e. for 43,117 is 5031.

Thus, GCF of Fractions is 2/5031.Finally, GCF of Fractions for 7022/43, 5660/117 is 2/5031.