Greatest Common Factor of 2378/267, 6286/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2378/267, 6286/989

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 2378/267,6286/989

Given fractions are 2378/267,6286/989

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 2378,6286

Greatest Common Factor of Numerators i.e. GCF of 2378,6286 is 2 .

LCM of Denominators means LCM of 267,989 as per the given fractions.

LCM of 267,989 is 264063 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2378,6286

GCF of Fractions 2378/267,6286/989 is 2/264063

2 2378, 6286
1189, 3143

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

Greatest Common Factor of 2378,6286 By Matching Biggest Common Factor Method

Greatest Common Factor of 2378,6286 By Matching Biggest Common Factor Method

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1,2,29,41,58,82,1189,2378

Factors of 6286

List of positive integer factors of 6286 that divides 6286 without a remainder.

1,2,7,14,449,898,3143,6286

Greatest Common Factor

We found the factors 2378,6286 . The biggest common factor number is the GCF number.
So the greatest common factor 2378,6286 is 2.

Lets's calculate LCM of 267,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 264063

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/264063

Therefore, the GCF of Fractions 2378/267,6286/989 is 2/264063

Least Common Multiple of 267,989 with GCF Formula

Least Common Multiple of 267,989 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 267,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,989) = 1

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

GCF(267,989) x common factors =1 x 1 = 1

LCM(267,989) = ( 267 × 989 ) / 1

LCM(267,989) = 264063 / 1

LCM(267,989) = 264063


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 2378/267, 6286/989

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 2378/267, 6286/989?

Answer: GCF of Numerators as per given numbers 2378/267, 6286/989 is

GCF of Numerators i.e. for 2378,6286 is 2

LCM of denominators i.e. for 267,989 is 264063.

Thus, GCF of Fractions is 2/264063.Finally, GCF of Fractions for 2378/267, 6286/989 is 2/264063.