Greatest Common Factor of 7660/772, 1165/6040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7660/772, 1165/6040

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 7660/772,1165/6040

Given fractions are 7660/772,1165/6040

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 7660,1165

Greatest Common Factor of Numerators i.e. GCF of 7660,1165 is 5 .

LCM of Denominators means LCM of 772,6040 as per the given fractions.

LCM of 772,6040 is 1165720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7660,1165

GCF of Fractions 7660/772,1165/6040 is 5/1165720

5 7660, 1165
1532, 233

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7660,1165 By Matching Biggest Common Factor Method

Greatest Common Factor of 7660,1165 By Matching Biggest Common Factor Method

Factors of 7660

List of positive integer factors of 7660 that divides 7660 without a remainder.

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Factors of 1165

List of positive integer factors of 1165 that divides 1165 without a remainder.

1,5,233,1165

Greatest Common Factor

We found the factors 7660,1165 . The biggest common factor number is the GCF number.
So the greatest common factor 7660,1165 is 5.

Lets's calculate LCM of 772,6040

2 772, 6040
2 386, 3020
193, 1510

∴ So the LCM of the given numbers is 2 x 2 x 193 x 1510 = 1165720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1165720

Therefore, the GCF of Fractions 7660/772,1165/6040 is 5/1165720

Least Common Multiple of 772,6040 with GCF Formula

Least Common Multiple of 772,6040 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 772,6040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,6040) = 4

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

GCF(772,6040) x common factors =4 x 1 = 4

LCM(772,6040) = ( 772 × 6040 ) / 4

LCM(772,6040) = 4662880 / 4

LCM(772,6040) = 1165720


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 7660/772, 1165/6040

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 7660/772, 1165/6040?

Answer: GCF of Numerators as per given numbers 7660/772, 1165/6040 is

GCF of Numerators i.e. for 7660,1165 is 5

LCM of denominators i.e. for 772,6040 is 1165720.

Thus, GCF of Fractions is 5/1165720.Finally, GCF of Fractions for 7660/772, 1165/6040 is 5/1165720.