Greatest Common Factor of 7011/214, 2667/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7011/214, 2667/362

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 7011/214,2667/362

Given fractions are 7011/214,2667/362

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 7011,2667

Greatest Common Factor of Numerators i.e. GCF of 7011,2667 is 3 .

LCM of Denominators means LCM of 214,362 as per the given fractions.

LCM of 214,362 is 38734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7011,2667

GCF of Fractions 7011/214,2667/362 is 3/38734

3 7011, 2667
2337, 889

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

Greatest Common Factor of 7011,2667 By Matching Biggest Common Factor Method

Greatest Common Factor of 7011,2667 By Matching Biggest Common Factor Method

Factors of 7011

List of positive integer factors of 7011 that divides 7011 without a remainder.

1,3,9,19,41,57,123,171,369,779,2337,7011

Factors of 2667

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

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

Greatest Common Factor

We found the factors 7011,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 7011,2667 is 3.

Lets's calculate LCM of 214,362

2 214, 362
107, 181

∴ So the LCM of the given numbers is 2 x 107 x 181 = 38734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38734

Therefore, the GCF of Fractions 7011/214,2667/362 is 3/38734

Least Common Multiple of 214,362 with GCF Formula

Least Common Multiple of 214,362 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 214,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,362) = 2

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

GCF(214,362) x common factors =2 x 1 = 2

LCM(214,362) = ( 214 × 362 ) / 2

LCM(214,362) = 77468 / 2

LCM(214,362) = 38734


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 7011/214, 2667/362

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 7011/214, 2667/362?

Answer: GCF of Numerators as per given numbers 7011/214, 2667/362 is

GCF of Numerators i.e. for 7011,2667 is 3

LCM of denominators i.e. for 214,362 is 38734.

Thus, GCF of Fractions is 3/38734.Finally, GCF of Fractions for 7011/214, 2667/362 is 3/38734.