Greatest Common Factor of 7211/380, 6138/5167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7211/380, 6138/5167

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 7211/380,6138/5167

Given fractions are 7211/380,6138/5167

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 7211,6138

Greatest Common Factor of Numerators i.e. GCF of 7211,6138 is 1 .

LCM of Denominators means LCM of 380,5167 as per the given fractions.

LCM of 380,5167 is 1963460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7211,6138

GCF of Fractions 7211/380,6138/5167 is 1/1963460

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

Greatest Common Factor of 7211,6138 By Matching Biggest Common Factor Method

Greatest Common Factor of 7211,6138 By Matching Biggest Common Factor Method

Factors of 7211

List of positive integer factors of 7211 that divides 7211 without a remainder.

1,7211

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Greatest Common Factor

We found the factors 7211,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 7211,6138 is 1.

Lets's calculate LCM of 380,5167

Given numbers has no common factors except 1. So, there LCM is their product i.e 1963460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1963460

Therefore, the GCF of Fractions 7211/380,6138/5167 is 1/1963460

Least Common Multiple of 380,5167 with GCF Formula

Least Common Multiple of 380,5167 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 380,5167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,5167) = 1

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

GCF(380,5167) x common factors =1 x 1 = 1

LCM(380,5167) = ( 380 × 5167 ) / 1

LCM(380,5167) = 1963460 / 1

LCM(380,5167) = 1963460


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 7211/380, 6138/5167

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 7211/380, 6138/5167?

Answer: GCF of Numerators as per given numbers 7211/380, 6138/5167 is

GCF of Numerators i.e. for 7211,6138 is 1

LCM of denominators i.e. for 380,5167 is 1963460.

Thus, GCF of Fractions is 1/1963460.Finally, GCF of Fractions for 7211/380, 6138/5167 is 1/1963460.