Greatest Common Factor of 6386/91, 7426/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6386/91, 7426/173

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 6386/91,7426/173

Given fractions are 6386/91,7426/173

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 6386,7426

Greatest Common Factor of Numerators i.e. GCF of 6386,7426 is 2 .

LCM of Denominators means LCM of 91,173 as per the given fractions.

LCM of 91,173 is 15743 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6386,7426

GCF of Fractions 6386/91,7426/173 is 2/15743

2 6386, 7426
3193, 3713

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6386,7426 By Matching Biggest Common Factor Method

Greatest Common Factor of 6386,7426 By Matching Biggest Common Factor Method

Factors of 6386

List of positive integer factors of 6386 that divides 6386 without a remainder.

1,2,31,62,103,206,3193,6386

Factors of 7426

List of positive integer factors of 7426 that divides 7426 without a remainder.

1,2,47,79,94,158,3713,7426

Greatest Common Factor

We found the factors 6386,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 6386,7426 is 2.

Lets's calculate LCM of 91,173

Given numbers has no common factors except 1. So, there LCM is their product i.e 15743

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15743

Therefore, the GCF of Fractions 6386/91,7426/173 is 2/15743

Least Common Multiple of 91,173 with GCF Formula

Least Common Multiple of 91,173 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 91,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,173) = 1

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

GCF(91,173) x common factors =1 x 1 = 1

LCM(91,173) = ( 91 × 173 ) / 1

LCM(91,173) = 15743 / 1

LCM(91,173) = 15743


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 6386/91, 7426/173

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 6386/91, 7426/173?

Answer: GCF of Numerators as per given numbers 6386/91, 7426/173 is

GCF of Numerators i.e. for 6386,7426 is 2

LCM of denominators i.e. for 91,173 is 15743.

Thus, GCF of Fractions is 2/15743.Finally, GCF of Fractions for 6386/91, 7426/173 is 2/15743.