Greatest Common Factor of 2070/980, 2947/7246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2070/980, 2947/7246

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 2070/980,2947/7246

Given fractions are 2070/980,2947/7246

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 2070,2947

Greatest Common Factor of Numerators i.e. GCF of 2070,2947 is 1 .

LCM of Denominators means LCM of 980,7246 as per the given fractions.

LCM of 980,7246 is 3550540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2070,2947

GCF of Fractions 2070/980,2947/7246 is 1/3550540

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

Greatest Common Factor of 2070,2947 By Matching Biggest Common Factor Method

Greatest Common Factor of 2070,2947 By Matching Biggest Common Factor Method

Factors of 2070

List of positive integer factors of 2070 that divides 2070 without a remainder.

1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070

Factors of 2947

List of positive integer factors of 2947 that divides 2947 without a remainder.

1,7,421,2947

Greatest Common Factor

We found the factors 2070,2947 . The biggest common factor number is the GCF number.
So the greatest common factor 2070,2947 is 1.

Lets's calculate LCM of 980,7246

2 980, 7246
490, 3623

∴ So the LCM of the given numbers is 2 x 490 x 3623 = 3550540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3550540

Therefore, the GCF of Fractions 2070/980,2947/7246 is 1/3550540

Least Common Multiple of 980,7246 with GCF Formula

Least Common Multiple of 980,7246 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 980,7246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,7246) = 2

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

GCF(980,7246) x common factors =2 x 1 = 2

LCM(980,7246) = ( 980 × 7246 ) / 2

LCM(980,7246) = 7101080 / 2

LCM(980,7246) = 3550540


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 2070/980, 2947/7246

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 2070/980, 2947/7246?

Answer: GCF of Numerators as per given numbers 2070/980, 2947/7246 is

GCF of Numerators i.e. for 2070,2947 is 1

LCM of denominators i.e. for 980,7246 is 3550540.

Thus, GCF of Fractions is 1/3550540.Finally, GCF of Fractions for 2070/980, 2947/7246 is 1/3550540.