Greatest Common Factor of 2667/991, 7368/4206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2667/991, 7368/4206

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 2667/991,7368/4206

Given fractions are 2667/991,7368/4206

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 2667,7368

Greatest Common Factor of Numerators i.e. GCF of 2667,7368 is 3 .

LCM of Denominators means LCM of 991,4206 as per the given fractions.

LCM of 991,4206 is 4168146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2667,7368

GCF of Fractions 2667/991,7368/4206 is 3/4168146

3 2667, 7368
889, 2456

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2667,7368 By Matching Biggest Common Factor Method

Greatest Common Factor of 2667,7368 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 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368

Greatest Common Factor

We found the factors 2667,7368 . The biggest common factor number is the GCF number.
So the greatest common factor 2667,7368 is 3.

Lets's calculate LCM of 991,4206

Given numbers has no common factors except 1. So, there LCM is their product i.e 4168146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4168146

Therefore, the GCF of Fractions 2667/991,7368/4206 is 3/4168146

Least Common Multiple of 991,4206 with GCF Formula

Least Common Multiple of 991,4206 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 991,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,4206) = 1

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

GCF(991,4206) x common factors =1 x 1 = 1

LCM(991,4206) = ( 991 × 4206 ) / 1

LCM(991,4206) = 4168146 / 1

LCM(991,4206) = 4168146


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 2667/991, 7368/4206

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 2667/991, 7368/4206?

Answer: GCF of Numerators as per given numbers 2667/991, 7368/4206 is

GCF of Numerators i.e. for 2667,7368 is 3

LCM of denominators i.e. for 991,4206 is 4168146.

Thus, GCF of Fractions is 3/4168146.Finally, GCF of Fractions for 2667/991, 7368/4206 is 3/4168146.