Greatest Common Factor of 2786/328, 8491/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2786/328, 8491/147

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 2786/328,8491/147

Given fractions are 2786/328,8491/147

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 2786,8491

Greatest Common Factor of Numerators i.e. GCF of 2786,8491 is 7 .

LCM of Denominators means LCM of 328,147 as per the given fractions.

LCM of 328,147 is 48216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2786,8491

GCF of Fractions 2786/328,8491/147 is 7/48216

7 2786, 8491
398, 1213

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2786,8491 By Matching Biggest Common Factor Method

Greatest Common Factor of 2786,8491 By Matching Biggest Common Factor Method

Factors of 2786

List of positive integer factors of 2786 that divides 2786 without a remainder.

1,2,7,14,199,398,1393,2786

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1,7,1213,8491

Greatest Common Factor

We found the factors 2786,8491 . The biggest common factor number is the GCF number.
So the greatest common factor 2786,8491 is 7.

Lets's calculate LCM of 328,147

Given numbers has no common factors except 1. So, there LCM is their product i.e 48216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/48216

Therefore, the GCF of Fractions 2786/328,8491/147 is 7/48216

Least Common Multiple of 328,147 with GCF Formula

Least Common Multiple of 328,147 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 328,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,147) = 1

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

GCF(328,147) x common factors =1 x 1 = 1

LCM(328,147) = ( 328 × 147 ) / 1

LCM(328,147) = 48216 / 1

LCM(328,147) = 48216


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 2786/328, 8491/147

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 2786/328, 8491/147?

Answer: GCF of Numerators as per given numbers 2786/328, 8491/147 is

GCF of Numerators i.e. for 2786,8491 is 7

LCM of denominators i.e. for 328,147 is 48216.

Thus, GCF of Fractions is 7/48216.Finally, GCF of Fractions for 2786/328, 8491/147 is 7/48216.