Greatest Common Factor of 7526/307, 6775/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7526/307, 6775/453

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 7526/307,6775/453

Given fractions are 7526/307,6775/453

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 7526,6775

Greatest Common Factor of Numerators i.e. GCF of 7526,6775 is 1 .

LCM of Denominators means LCM of 307,453 as per the given fractions.

LCM of 307,453 is 139071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7526,6775

GCF of Fractions 7526/307,6775/453 is 1/139071

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

Greatest Common Factor of 7526,6775 By Matching Biggest Common Factor Method

Greatest Common Factor of 7526,6775 By Matching Biggest Common Factor Method

Factors of 7526

List of positive integer factors of 7526 that divides 7526 without a remainder.

1,2,53,71,106,142,3763,7526

Factors of 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1,5,25,271,1355,6775

Greatest Common Factor

We found the factors 7526,6775 . The biggest common factor number is the GCF number.
So the greatest common factor 7526,6775 is 1.

Lets's calculate LCM of 307,453

Given numbers has no common factors except 1. So, there LCM is their product i.e 139071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139071

Therefore, the GCF of Fractions 7526/307,6775/453 is 1/139071

Least Common Multiple of 307,453 with GCF Formula

Least Common Multiple of 307,453 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 307,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,453) = 1

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

GCF(307,453) x common factors =1 x 1 = 1

LCM(307,453) = ( 307 × 453 ) / 1

LCM(307,453) = 139071 / 1

LCM(307,453) = 139071


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 7526/307, 6775/453

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 7526/307, 6775/453?

Answer: GCF of Numerators as per given numbers 7526/307, 6775/453 is

GCF of Numerators i.e. for 7526,6775 is 1

LCM of denominators i.e. for 307,453 is 139071.

Thus, GCF of Fractions is 1/139071.Finally, GCF of Fractions for 7526/307, 6775/453 is 1/139071.