Greatest Common Factor of 8377/838, 1287/2991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8377/838, 1287/2991

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 8377/838,1287/2991

Given fractions are 8377/838,1287/2991

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 8377,1287

Greatest Common Factor of Numerators i.e. GCF of 8377,1287 is 1 .

LCM of Denominators means LCM of 838,2991 as per the given fractions.

LCM of 838,2991 is 2506458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8377,1287

GCF of Fractions 8377/838,1287/2991 is 1/2506458

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

Greatest Common Factor of 8377,1287 By Matching Biggest Common Factor Method

Greatest Common Factor of 8377,1287 By Matching Biggest Common Factor Method

Factors of 8377

List of positive integer factors of 8377 that divides 8377 without a remainder.

1,8377

Factors of 1287

List of positive integer factors of 1287 that divides 1287 without a remainder.

1,3,9,11,13,33,39,99,117,143,429,1287

Greatest Common Factor

We found the factors 8377,1287 . The biggest common factor number is the GCF number.
So the greatest common factor 8377,1287 is 1.

Lets's calculate LCM of 838,2991

Given numbers has no common factors except 1. So, there LCM is their product i.e 2506458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2506458

Therefore, the GCF of Fractions 8377/838,1287/2991 is 1/2506458

Least Common Multiple of 838,2991 with GCF Formula

Least Common Multiple of 838,2991 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 838,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,2991) = 1

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

GCF(838,2991) x common factors =1 x 1 = 1

LCM(838,2991) = ( 838 × 2991 ) / 1

LCM(838,2991) = 2506458 / 1

LCM(838,2991) = 2506458


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 8377/838, 1287/2991

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 8377/838, 1287/2991?

Answer: GCF of Numerators as per given numbers 8377/838, 1287/2991 is

GCF of Numerators i.e. for 8377,1287 is 1

LCM of denominators i.e. for 838,2991 is 2506458.

Thus, GCF of Fractions is 1/2506458.Finally, GCF of Fractions for 8377/838, 1287/2991 is 1/2506458.