Greatest Common Factor of 1494/725, 5138/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1494/725, 5138/755

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 1494/725,5138/755

Given fractions are 1494/725,5138/755

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 1494,5138

Greatest Common Factor of Numerators i.e. GCF of 1494,5138 is 2 .

LCM of Denominators means LCM of 725,755 as per the given fractions.

LCM of 725,755 is 109475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1494,5138

GCF of Fractions 1494/725,5138/755 is 2/109475

2 1494, 5138
747, 2569

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

Greatest Common Factor of 1494,5138 By Matching Biggest Common Factor Method

Greatest Common Factor of 1494,5138 By Matching Biggest Common Factor Method

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1,2,3,6,9,18,83,166,249,498,747,1494

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors 1494,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 1494,5138 is 2.

Lets's calculate LCM of 725,755

5 725, 755
145, 151

∴ So the LCM of the given numbers is 5 x 145 x 151 = 109475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109475

Therefore, the GCF of Fractions 1494/725,5138/755 is 2/109475

Least Common Multiple of 725,755 with GCF Formula

Least Common Multiple of 725,755 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 725,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,755) = 5

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

GCF(725,755) x common factors =5 x 1 = 5

LCM(725,755) = ( 725 × 755 ) / 5

LCM(725,755) = 547375 / 5

LCM(725,755) = 109475


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 1494/725, 5138/755

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 1494/725, 5138/755?

Answer: GCF of Numerators as per given numbers 1494/725, 5138/755 is

GCF of Numerators i.e. for 1494,5138 is 2

LCM of denominators i.e. for 725,755 is 109475.

Thus, GCF of Fractions is 2/109475.Finally, GCF of Fractions for 1494/725, 5138/755 is 2/109475.