Greatest Common Factor of 752/342, 754/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/342, 754/441

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 752/342,754/441

Given fractions are 752/342,754/441

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 752,754

Greatest Common Factor of Numerators i.e. GCF of 752,754 is 2 .

LCM of Denominators means LCM of 342,441 as per the given fractions.

LCM of 342,441 is 16758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,754

GCF of Fractions 752/342,754/441 is 2/16758

2 752, 754
376, 377

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

Greatest Common Factor of 752,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,754 By Matching Biggest Common Factor Method

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 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 752,754 . The biggest common factor number is the GCF number.
So the greatest common factor 752,754 is 2.

Lets's calculate LCM of 342,441

3 342, 441
3 114, 147
38, 49

∴ So the LCM of the given numbers is 3 x 3 x 38 x 49 = 16758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16758

Therefore, the GCF of Fractions 752/342,754/441 is 2/16758

Least Common Multiple of 342,441 with GCF Formula

Least Common Multiple of 342,441 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 342,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,441) = 9

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

GCF(342,441) x common factors =9 x 1 = 9

LCM(342,441) = ( 342 × 441 ) / 9

LCM(342,441) = 150822 / 9

LCM(342,441) = 16758


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 752/342, 754/441

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 752/342, 754/441?

Answer: GCF of Numerators as per given numbers 752/342, 754/441 is

GCF of Numerators i.e. for 752,754 is 2

LCM of denominators i.e. for 342,441 is 16758.

Thus, GCF of Fractions is 2/16758.Finally, GCF of Fractions for 752/342, 754/441 is 2/16758.