Greatest Common Factor of 6/37, 79/23, 62/279, 727/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/37, 79/23, 62/279, 727/869

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 6/37,79/23,62/279,727/869

Given fractions are 6/37,79/23,62/279,727/869

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 6,79,62,727

Greatest Common Factor of Numerators i.e. GCF of 6,79,62,727 is 1 .

LCM of Denominators means LCM of 37,23,279,869 as per the given fractions.

LCM of 37,23,279,869 is 206325801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,79,62,727

GCF of Fractions 6/37,79/23,62/279,727/869 is 1/206325801

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

Greatest Common Factor of 6,79,62,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,79,62,727 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 6,79,62,727 . The biggest common factor number is the GCF number.
So the greatest common factor 6,79,62,727 is 1.

Lets's calculate LCM of 37,23,279,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 206325801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206325801

Therefore, the GCF of Fractions 6/37,79/23,62/279,727/869 is 1/206325801

Least Common Multiple of 37,23,279,869 with GCF Formula

Least Common Multiple of 37,23,279,869 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 37,23,279,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,23,279,869) = 1

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

GCF(37,23,279,869) x common factors =1 x 1 = 1

LCM(37,23,279,869) = ( 37 × 23 × 279 × 869 ) / 1

LCM(37,23,279,869) = 206325801 / 1

LCM(37,23,279,869) = 206325801


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 6/37, 79/23, 62/279, 727/869

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 6/37, 79/23, 62/279, 727/869?

Answer: GCF of Numerators as per given numbers 6/37, 79/23, 62/279, 727/869 is

GCF of Numerators i.e. for 6,79,62,727 is 1

LCM of denominators i.e. for 37,23,279,869 is 206325801.

Thus, GCF of Fractions is 1/206325801.Finally, GCF of Fractions for 6/37, 79/23, 62/279, 727/869 is 1/206325801.