Greatest Common Factor of 7246/752, 3915/1740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7246/752, 3915/1740

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 7246/752,3915/1740

Given fractions are 7246/752,3915/1740

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 7246,3915

Greatest Common Factor of Numerators i.e. GCF of 7246,3915 is 1 .

LCM of Denominators means LCM of 752,1740 as per the given fractions.

LCM of 752,1740 is 327120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7246,3915

GCF of Fractions 7246/752,3915/1740 is 1/327120

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

Greatest Common Factor of 7246,3915 By Matching Biggest Common Factor Method

Greatest Common Factor of 7246,3915 By Matching Biggest Common Factor Method

Factors of 7246

List of positive integer factors of 7246 that divides 7246 without a remainder.

1,2,3623,7246

Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915

Greatest Common Factor

We found the factors 7246,3915 . The biggest common factor number is the GCF number.
So the greatest common factor 7246,3915 is 1.

Lets's calculate LCM of 752,1740

2 752, 1740
2 376, 870
188, 435

∴ So the LCM of the given numbers is 2 x 2 x 188 x 435 = 327120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327120

Therefore, the GCF of Fractions 7246/752,3915/1740 is 1/327120

Least Common Multiple of 752,1740 with GCF Formula

Least Common Multiple of 752,1740 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 752,1740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,1740) = 4

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

GCF(752,1740) x common factors =4 x 1 = 4

LCM(752,1740) = ( 752 × 1740 ) / 4

LCM(752,1740) = 1308480 / 4

LCM(752,1740) = 327120


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 7246/752, 3915/1740

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 7246/752, 3915/1740?

Answer: GCF of Numerators as per given numbers 7246/752, 3915/1740 is

GCF of Numerators i.e. for 7246,3915 is 1

LCM of denominators i.e. for 752,1740 is 327120.

Thus, GCF of Fractions is 1/327120.Finally, GCF of Fractions for 7246/752, 3915/1740 is 1/327120.