Greatest Common Factor of 265/766, 7270/3090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/766, 7270/3090

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 265/766,7270/3090

Given fractions are 265/766,7270/3090

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 265,7270

Greatest Common Factor of Numerators i.e. GCF of 265,7270 is 5 .

LCM of Denominators means LCM of 766,3090 as per the given fractions.

LCM of 766,3090 is 1183470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,7270

GCF of Fractions 265/766,7270/3090 is 5/1183470

5 265, 7270
53, 1454

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

Greatest Common Factor of 265,7270 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,7270 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Greatest Common Factor

We found the factors 265,7270 . The biggest common factor number is the GCF number.
So the greatest common factor 265,7270 is 5.

Lets's calculate LCM of 766,3090

2 766, 3090
383, 1545

∴ So the LCM of the given numbers is 2 x 383 x 1545 = 1183470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1183470

Therefore, the GCF of Fractions 265/766,7270/3090 is 5/1183470

Least Common Multiple of 766,3090 with GCF Formula

Least Common Multiple of 766,3090 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 766,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,3090) = 2

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

GCF(766,3090) x common factors =2 x 1 = 2

LCM(766,3090) = ( 766 × 3090 ) / 2

LCM(766,3090) = 2366940 / 2

LCM(766,3090) = 1183470


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 265/766, 7270/3090

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 265/766, 7270/3090?

Answer: GCF of Numerators as per given numbers 265/766, 7270/3090 is

GCF of Numerators i.e. for 265,7270 is 5

LCM of denominators i.e. for 766,3090 is 1183470.

Thus, GCF of Fractions is 5/1183470.Finally, GCF of Fractions for 265/766, 7270/3090 is 5/1183470.