Greatest Common Factor of 74/37, 41/23, 261/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/37, 41/23, 261/103

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 74/37,41/23,261/103

Given fractions are 74/37,41/23,261/103

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 74,41,261

Greatest Common Factor of Numerators i.e. GCF of 74,41,261 is 1 .

LCM of Denominators means LCM of 37,23,103 as per the given fractions.

LCM of 37,23,103 is 87653 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,41,261

GCF of Fractions 74/37,41/23,261/103 is 1/87653

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

Greatest Common Factor of 74,41,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,41,261 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 74,41,261 . The biggest common factor number is the GCF number.
So the greatest common factor 74,41,261 is 1.

Lets's calculate LCM of 37,23,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 87653

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87653

Therefore, the GCF of Fractions 74/37,41/23,261/103 is 1/87653

Least Common Multiple of 37,23,103 with GCF Formula

Least Common Multiple of 37,23,103 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 37,23,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,23,103) = 1

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

GCF(37,23,103) x common factors =1 x 1 = 1

LCM(37,23,103) = ( 37 × 23 × 103 ) / 1

LCM(37,23,103) = 87653 / 1

LCM(37,23,103) = 87653


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 74/37, 41/23, 261/103

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 74/37, 41/23, 261/103?

Answer: GCF of Numerators as per given numbers 74/37, 41/23, 261/103 is

GCF of Numerators i.e. for 74,41,261 is 1

LCM of denominators i.e. for 37,23,103 is 87653.

Thus, GCF of Fractions is 1/87653.Finally, GCF of Fractions for 74/37, 41/23, 261/103 is 1/87653.