Greatest Common Factor of 6/47, 18/37, 61/760, 157/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/47, 18/37, 61/760, 157/806

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 6/47,18/37,61/760,157/806

Given fractions are 6/47,18/37,61/760,157/806

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 6,18,61,157

Greatest Common Factor of Numerators i.e. GCF of 6,18,61,157 is 1 .

LCM of Denominators means LCM of 47,37,760,806 as per the given fractions.

LCM of 47,37,760,806 is 532620920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,18,61,157

GCF of Fractions 6/47,18/37,61/760,157/806 is 1/532620920

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

Greatest Common Factor of 6,18,61,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,18,61,157 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 6,18,61,157 . The biggest common factor number is the GCF number.
So the greatest common factor 6,18,61,157 is 1.

Lets's calculate LCM of 47,37,760,806

2 47, 37, 760, 806
47, 37, 380, 403

∴ So the LCM of the given numbers is 2 x 47 x 37 x 380 x 403 = 532620920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532620920

Therefore, the GCF of Fractions 6/47,18/37,61/760,157/806 is 1/532620920

Least Common Multiple of 47,37,760,806 with GCF Formula

Least Common Multiple of 47,37,760,806 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 47,37,760,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,37,760,806) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,37,760,806) x common factors =1 x 2 = 2

LCM(47,37,760,806) = ( 47 × 37 × 760 × 806 ) / 2

LCM(47,37,760,806) = 1065241840 / 2

LCM(47,37,760,806) = 532620920


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 6/47, 18/37, 61/760, 157/806

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 6/47, 18/37, 61/760, 157/806?

Answer: GCF of Numerators as per given numbers 6/47, 18/37, 61/760, 157/806 is

GCF of Numerators i.e. for 6,18,61,157 is 1

LCM of denominators i.e. for 47,37,760,806 is 532620920.

Thus, GCF of Fractions is 1/532620920.Finally, GCF of Fractions for 6/47, 18/37, 61/760, 157/806 is 1/532620920.