Greatest Common Factor of 7518/908, 1464/1652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7518/908, 1464/1652

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 7518/908,1464/1652

Given fractions are 7518/908,1464/1652

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 7518,1464

Greatest Common Factor of Numerators i.e. GCF of 7518,1464 is 6 .

LCM of Denominators means LCM of 908,1652 as per the given fractions.

LCM of 908,1652 is 375004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7518,1464

GCF of Fractions 7518/908,1464/1652 is 6/375004

2 7518, 1464
3 3759, 732
1253, 244

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7518,1464 By Matching Biggest Common Factor Method

Greatest Common Factor of 7518,1464 By Matching Biggest Common Factor Method

Factors of 7518

List of positive integer factors of 7518 that divides 7518 without a remainder.

1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464

Greatest Common Factor

We found the factors 7518,1464 . The biggest common factor number is the GCF number.
So the greatest common factor 7518,1464 is 6.

Lets's calculate LCM of 908,1652

2 908, 1652
2 454, 826
227, 413

∴ So the LCM of the given numbers is 2 x 2 x 227 x 413 = 375004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/375004

Therefore, the GCF of Fractions 7518/908,1464/1652 is 6/375004

Least Common Multiple of 908,1652 with GCF Formula

Least Common Multiple of 908,1652 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 908,1652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,1652) = 4

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

GCF(908,1652) x common factors =4 x 1 = 4

LCM(908,1652) = ( 908 × 1652 ) / 4

LCM(908,1652) = 1500016 / 4

LCM(908,1652) = 375004


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 7518/908, 1464/1652

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 7518/908, 1464/1652?

Answer: GCF of Numerators as per given numbers 7518/908, 1464/1652 is

GCF of Numerators i.e. for 7518,1464 is 6

LCM of denominators i.e. for 908,1652 is 375004.

Thus, GCF of Fractions is 6/375004.Finally, GCF of Fractions for 7518/908, 1464/1652 is 6/375004.