Greatest Common Factor of 7460/795, 7486/5055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7460/795, 7486/5055

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 7460/795,7486/5055

Given fractions are 7460/795,7486/5055

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 7460,7486

Greatest Common Factor of Numerators i.e. GCF of 7460,7486 is 2 .

LCM of Denominators means LCM of 795,5055 as per the given fractions.

LCM of 795,5055 is 267915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7460,7486

GCF of Fractions 7460/795,7486/5055 is 2/267915

2 7460, 7486
3730, 3743

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

Greatest Common Factor of 7460,7486 By Matching Biggest Common Factor Method

Greatest Common Factor of 7460,7486 By Matching Biggest Common Factor Method

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1,2,4,5,10,20,373,746,1492,1865,3730,7460

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1,2,19,38,197,394,3743,7486

Greatest Common Factor

We found the factors 7460,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 7460,7486 is 2.

Lets's calculate LCM of 795,5055

3 795, 5055
5 265, 1685
53, 337

∴ So the LCM of the given numbers is 3 x 5 x 53 x 337 = 267915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/267915

Therefore, the GCF of Fractions 7460/795,7486/5055 is 2/267915

Least Common Multiple of 795,5055 with GCF Formula

Least Common Multiple of 795,5055 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 795,5055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,5055) = 15

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

GCF(795,5055) x common factors =15 x 1 = 15

LCM(795,5055) = ( 795 × 5055 ) / 15

LCM(795,5055) = 4018725 / 15

LCM(795,5055) = 267915


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 7460/795, 7486/5055

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 7460/795, 7486/5055?

Answer: GCF of Numerators as per given numbers 7460/795, 7486/5055 is

GCF of Numerators i.e. for 7460,7486 is 2

LCM of denominators i.e. for 795,5055 is 267915.

Thus, GCF of Fractions is 2/267915.Finally, GCF of Fractions for 7460/795, 7486/5055 is 2/267915.