Greatest Common Factor of 2667/381, 3458/9548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2667/381, 3458/9548

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 2667/381,3458/9548

Given fractions are 2667/381,3458/9548

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 2667,3458

Greatest Common Factor of Numerators i.e. GCF of 2667,3458 is 7 .

LCM of Denominators means LCM of 381,9548 as per the given fractions.

LCM of 381,9548 is 3637788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2667,3458

GCF of Fractions 2667/381,3458/9548 is 7/3637788

7 2667, 3458
381, 494

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

Greatest Common Factor of 2667,3458 By Matching Biggest Common Factor Method

Greatest Common Factor of 2667,3458 By Matching Biggest Common Factor Method

Factors of 2667

List of positive integer factors of 2667 that divides 2667 without a remainder.

1,3,7,21,127,381,889,2667

Factors of 3458

List of positive integer factors of 3458 that divides 3458 without a remainder.

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Greatest Common Factor

We found the factors 2667,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 2667,3458 is 7.

Lets's calculate LCM of 381,9548

Given numbers has no common factors except 1. So, there LCM is their product i.e 3637788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3637788

Therefore, the GCF of Fractions 2667/381,3458/9548 is 7/3637788

Least Common Multiple of 381,9548 with GCF Formula

Least Common Multiple of 381,9548 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 381,9548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,9548) = 1

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

GCF(381,9548) x common factors =1 x 1 = 1

LCM(381,9548) = ( 381 × 9548 ) / 1

LCM(381,9548) = 3637788 / 1

LCM(381,9548) = 3637788


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 2667/381, 3458/9548

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 2667/381, 3458/9548?

Answer: GCF of Numerators as per given numbers 2667/381, 3458/9548 is

GCF of Numerators i.e. for 2667,3458 is 7

LCM of denominators i.e. for 381,9548 is 3637788.

Thus, GCF of Fractions is 7/3637788.Finally, GCF of Fractions for 2667/381, 3458/9548 is 7/3637788.