Greatest Common Factor of 25/541, 381/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/541, 381/736

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 25/541,381/736

Given fractions are 25/541,381/736

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 25,381

Greatest Common Factor of Numerators i.e. GCF of 25,381 is 1 .

LCM of Denominators means LCM of 541,736 as per the given fractions.

LCM of 541,736 is 398176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,381

GCF of Fractions 25/541,381/736 is 1/398176

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 25,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,381 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 25,381 . The biggest common factor number is the GCF number.
So the greatest common factor 25,381 is 1.

Lets's calculate LCM of 541,736

Given numbers has no common factors except 1. So, there LCM is their product i.e 398176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398176

Therefore, the GCF of Fractions 25/541,381/736 is 1/398176

Least Common Multiple of 541,736 with GCF Formula

Least Common Multiple of 541,736 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 541,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,736) = 1

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

GCF(541,736) x common factors =1 x 1 = 1

LCM(541,736) = ( 541 × 736 ) / 1

LCM(541,736) = 398176 / 1

LCM(541,736) = 398176


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 25/541, 381/736

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 25/541, 381/736?

Answer: GCF of Numerators as per given numbers 25/541, 381/736 is

GCF of Numerators i.e. for 25,381 is 1

LCM of denominators i.e. for 541,736 is 398176.

Thus, GCF of Fractions is 1/398176.Finally, GCF of Fractions for 25/541, 381/736 is 1/398176.