Greatest Common Factor of 46/91, 97/92, 745/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/91, 97/92, 745/718

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 46/91,97/92,745/718

Given fractions are 46/91,97/92,745/718

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 46,97,745

Greatest Common Factor of Numerators i.e. GCF of 46,97,745 is 1 .

LCM of Denominators means LCM of 91,92,718 as per the given fractions.

LCM of 91,92,718 is 3005548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,97,745

GCF of Fractions 46/91,97/92,745/718 is 1/3005548

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

Greatest Common Factor of 46,97,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,97,745 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 46,97,745 . The biggest common factor number is the GCF number.
So the greatest common factor 46,97,745 is 1.

Lets's calculate LCM of 91,92,718

2 91, 92, 718
91, 46, 359

∴ So the LCM of the given numbers is 2 x 91 x 46 x 359 = 3005548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3005548

Therefore, the GCF of Fractions 46/91,97/92,745/718 is 1/3005548

Least Common Multiple of 91,92,718 with GCF Formula

Least Common Multiple of 91,92,718 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 91,92,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,92,718) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,92,718) x common factors =1 x 2 = 2

LCM(91,92,718) = ( 91 × 92 × 718 ) / 2

LCM(91,92,718) = 6011096 / 2

LCM(91,92,718) = 3005548


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 46/91, 97/92, 745/718

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 46/91, 97/92, 745/718?

Answer: GCF of Numerators as per given numbers 46/91, 97/92, 745/718 is

GCF of Numerators i.e. for 46,97,745 is 1

LCM of denominators i.e. for 91,92,718 is 3005548.

Thus, GCF of Fractions is 1/3005548.Finally, GCF of Fractions for 46/91, 97/92, 745/718 is 1/3005548.