Greatest Common Factor of 3/41, 75/37, 75/342, 292/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/41, 75/37, 75/342, 292/213

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 3/41,75/37,75/342,292/213

Given fractions are 3/41,75/37,75/342,292/213

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 3,75,75,292

Greatest Common Factor of Numerators i.e. GCF of 3,75,75,292 is 1 .

LCM of Denominators means LCM of 41,37,342,213 as per the given fractions.

LCM of 41,37,342,213 is 36835794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,75,75,292

GCF of Fractions 3/41,75/37,75/342,292/213 is 1/36835794

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

Greatest Common Factor of 3,75,75,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,75,75,292 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 3,75,75,292 . The biggest common factor number is the GCF number.
So the greatest common factor 3,75,75,292 is 1.

Lets's calculate LCM of 41,37,342,213

3 41, 37, 342, 213
41, 37, 114, 71

∴ So the LCM of the given numbers is 3 x 41 x 37 x 114 x 71 = 36835794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36835794

Therefore, the GCF of Fractions 3/41,75/37,75/342,292/213 is 1/36835794

Least Common Multiple of 41,37,342,213 with GCF Formula

Least Common Multiple of 41,37,342,213 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 41,37,342,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,37,342,213) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,37,342,213) x common factors =1 x 3 = 3

LCM(41,37,342,213) = ( 41 × 37 × 342 × 213 ) / 3

LCM(41,37,342,213) = 110507382 / 3

LCM(41,37,342,213) = 36835794


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 3/41, 75/37, 75/342, 292/213

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 3/41, 75/37, 75/342, 292/213?

Answer: GCF of Numerators as per given numbers 3/41, 75/37, 75/342, 292/213 is

GCF of Numerators i.e. for 3,75,75,292 is 1

LCM of denominators i.e. for 41,37,342,213 is 36835794.

Thus, GCF of Fractions is 1/36835794.Finally, GCF of Fractions for 3/41, 75/37, 75/342, 292/213 is 1/36835794.