Greatest Common Factor of 752/280, 7238/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/280, 7238/678

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 752/280,7238/678

Given fractions are 752/280,7238/678

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 752,7238

Greatest Common Factor of Numerators i.e. GCF of 752,7238 is 94 .

LCM of Denominators means LCM of 280,678 as per the given fractions.

LCM of 280,678 is 94920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,7238

GCF of Fractions 752/280,7238/678 is 94/94920

2 752, 7238
47 376, 3619
8, 77

∴ So the GCF of the given numbers is 2 x 47 = 94

Greatest Common Factor of 752,7238 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,7238 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 7238

List of positive integer factors of 7238 that divides 7238 without a remainder.

1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238

Greatest Common Factor

We found the factors 752,7238 . The biggest common factor number is the GCF number.
So the greatest common factor 752,7238 is 94.

Lets's calculate LCM of 280,678

2 280, 678
140, 339

∴ So the LCM of the given numbers is 2 x 140 x 339 = 94920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/94920

Therefore, the GCF of Fractions 752/280,7238/678 is 94/94920

Least Common Multiple of 280,678 with GCF Formula

Least Common Multiple of 280,678 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 280,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,678) = 2

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

GCF(280,678) x common factors =2 x 1 = 2

LCM(280,678) = ( 280 × 678 ) / 2

LCM(280,678) = 189840 / 2

LCM(280,678) = 94920


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 752/280, 7238/678

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 752/280, 7238/678?

Answer: GCF of Numerators as per given numbers 752/280, 7238/678 is

GCF of Numerators i.e. for 752,7238 is 94

LCM of denominators i.e. for 280,678 is 94920.

Thus, GCF of Fractions is 94/94920.Finally, GCF of Fractions for 752/280, 7238/678 is 94/94920.