Greatest Common Factor of 3/91, 43/75, 85/742, 107/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/91, 43/75, 85/742, 107/938

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 3/91,43/75,85/742,107/938

Given fractions are 3/91,43/75,85/742,107/938

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 3,43,85,107

Greatest Common Factor of Numerators i.e. GCF of 3,43,85,107 is 1 .

LCM of Denominators means LCM of 91,75,742,938 as per the given fractions.

LCM of 91,75,742,938 is 48471150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,43,85,107

GCF of Fractions 3/91,43/75,85/742,107/938 is 1/48471150

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

Greatest Common Factor of 3,43,85,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,43,85,107 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 3,43,85,107 . The biggest common factor number is the GCF number.
So the greatest common factor 3,43,85,107 is 1.

Lets's calculate LCM of 91,75,742,938

2 91, 75, 742, 938
7 91, 75, 371, 469
13, 75, 53, 67

∴ So the LCM of the given numbers is 2 x 7 x 13 x 75 x 53 x 67 = 48471150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48471150

Therefore, the GCF of Fractions 3/91,43/75,85/742,107/938 is 1/48471150

Least Common Multiple of 91,75,742,938 with GCF Formula

Least Common Multiple of 91,75,742,938 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 91,75,742,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,75,742,938) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(91,75,742,938) x common factors =1 x 98 = 98

LCM(91,75,742,938) = ( 91 × 75 × 742 × 938 ) / 98

LCM(91,75,742,938) = 4750172700 / 98

LCM(91,75,742,938) = 48471150


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 3/91, 43/75, 85/742, 107/938

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 3/91, 43/75, 85/742, 107/938?

Answer: GCF of Numerators as per given numbers 3/91, 43/75, 85/742, 107/938 is

GCF of Numerators i.e. for 3,43,85,107 is 1

LCM of denominators i.e. for 91,75,742,938 is 48471150.

Thus, GCF of Fractions is 1/48471150.Finally, GCF of Fractions for 3/91, 43/75, 85/742, 107/938 is 1/48471150.