Greatest Common Factor of 908/96, 752/24, 740/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 908/96, 752/24, 740/749

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 908/96,752/24,740/749

Given fractions are 908/96,752/24,740/749

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 908,752,740

Greatest Common Factor of Numerators i.e. GCF of 908,752,740 is 4 .

LCM of Denominators means LCM of 96,24,749 as per the given fractions.

LCM of 96,24,749 is 71904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 908,752,740

GCF of Fractions 908/96,752/24,740/749 is 4/71904

2 908, 752, 740
2 454, 376, 370
227, 188, 185

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 908,752,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,752,740 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 908,752,740 . The biggest common factor number is the GCF number.
So the greatest common factor 908,752,740 is 4.

Lets's calculate LCM of 96,24,749

2 96, 24, 749
2 48, 12, 749
2 24, 6, 749
3 12, 3, 749
4, 1, 749

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 1 x 749 = 71904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/71904

Therefore, the GCF of Fractions 908/96,752/24,740/749 is 4/71904

Least Common Multiple of 96,24,749 with GCF Formula

Least Common Multiple of 96,24,749 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 96,24,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,24,749) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(96,24,749) x common factors =1 x 24 = 24

LCM(96,24,749) = ( 96 × 24 × 749 ) / 24

LCM(96,24,749) = 1725696 / 24

LCM(96,24,749) = 71904


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 908/96, 752/24, 740/749

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 908/96, 752/24, 740/749?

Answer: GCF of Numerators as per given numbers 908/96, 752/24, 740/749 is

GCF of Numerators i.e. for 908,752,740 is 4

LCM of denominators i.e. for 96,24,749 is 71904.

Thus, GCF of Fractions is 4/71904.Finally, GCF of Fractions for 908/96, 752/24, 740/749 is 4/71904.