Greatest Common Factor of 7040/45, 6260/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7040/45, 6260/656

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 7040/45,6260/656

Given fractions are 7040/45,6260/656

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 7040,6260

Greatest Common Factor of Numerators i.e. GCF of 7040,6260 is 20 .

LCM of Denominators means LCM of 45,656 as per the given fractions.

LCM of 45,656 is 29520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7040,6260

GCF of Fractions 7040/45,6260/656 is 20/29520

2 7040, 6260
2 3520, 3130
5 1760, 1565
352, 313

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 7040,6260 By Matching Biggest Common Factor Method

Greatest Common Factor of 7040,6260 By Matching Biggest Common Factor Method

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040

Factors of 6260

List of positive integer factors of 6260 that divides 6260 without a remainder.

1,2,4,5,10,20,313,626,1252,1565,3130,6260

Greatest Common Factor

We found the factors 7040,6260 . The biggest common factor number is the GCF number.
So the greatest common factor 7040,6260 is 20.

Lets's calculate LCM of 45,656

Given numbers has no common factors except 1. So, there LCM is their product i.e 29520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/29520

Therefore, the GCF of Fractions 7040/45,6260/656 is 20/29520

Least Common Multiple of 45,656 with GCF Formula

Least Common Multiple of 45,656 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 45,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,656) = 1

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

GCF(45,656) x common factors =1 x 1 = 1

LCM(45,656) = ( 45 × 656 ) / 1

LCM(45,656) = 29520 / 1

LCM(45,656) = 29520


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 7040/45, 6260/656

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 7040/45, 6260/656?

Answer: GCF of Numerators as per given numbers 7040/45, 6260/656 is

GCF of Numerators i.e. for 7040,6260 is 20

LCM of denominators i.e. for 45,656 is 29520.

Thus, GCF of Fractions is 20/29520.Finally, GCF of Fractions for 7040/45, 6260/656 is 20/29520.