Greatest Common Factor of 752/23, 398/7854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/23, 398/7854

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 752/23,398/7854

Given fractions are 752/23,398/7854

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 752,398

Greatest Common Factor of Numerators i.e. GCF of 752,398 is 2 .

LCM of Denominators means LCM of 23,7854 as per the given fractions.

LCM of 23,7854 is 180642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,398

GCF of Fractions 752/23,398/7854 is 2/180642

2 752, 398
376, 199

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

Greatest Common Factor of 752,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,398 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 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 752,398 . The biggest common factor number is the GCF number.
So the greatest common factor 752,398 is 2.

Lets's calculate LCM of 23,7854

Given numbers has no common factors except 1. So, there LCM is their product i.e 180642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180642

Therefore, the GCF of Fractions 752/23,398/7854 is 2/180642

Least Common Multiple of 23,7854 with GCF Formula

Least Common Multiple of 23,7854 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 23,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,7854) = 1

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

GCF(23,7854) x common factors =1 x 1 = 1

LCM(23,7854) = ( 23 × 7854 ) / 1

LCM(23,7854) = 180642 / 1

LCM(23,7854) = 180642


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 752/23, 398/7854

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 752/23, 398/7854?

Answer: GCF of Numerators as per given numbers 752/23, 398/7854 is

GCF of Numerators i.e. for 752,398 is 2

LCM of denominators i.e. for 23,7854 is 180642.

Thus, GCF of Fractions is 2/180642.Finally, GCF of Fractions for 752/23, 398/7854 is 2/180642.