Greatest Common Factor of 6/61, 95/42, 15/163, 806/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/61, 95/42, 15/163, 806/861

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 6/61,95/42,15/163,806/861

Given fractions are 6/61,95/42,15/163,806/861

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 6,95,15,806

Greatest Common Factor of Numerators i.e. GCF of 6,95,15,806 is 1 .

LCM of Denominators means LCM of 61,42,163,861 as per the given fractions.

LCM of 61,42,163,861 is 17121846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,95,15,806

GCF of Fractions 6/61,95/42,15/163,806/861 is 1/17121846

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

Greatest Common Factor of 6,95,15,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,95,15,806 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 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 6,95,15,806 . The biggest common factor number is the GCF number.
So the greatest common factor 6,95,15,806 is 1.

Lets's calculate LCM of 61,42,163,861

3 61, 42, 163, 861
7 61, 14, 163, 287
61, 2, 163, 41

∴ So the LCM of the given numbers is 3 x 7 x 61 x 2 x 163 x 41 = 17121846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17121846

Therefore, the GCF of Fractions 6/61,95/42,15/163,806/861 is 1/17121846

Least Common Multiple of 61,42,163,861 with GCF Formula

Least Common Multiple of 61,42,163,861 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 61,42,163,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,42,163,861) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(61,42,163,861) x common factors =1 x 21 = 21

LCM(61,42,163,861) = ( 61 × 42 × 163 × 861 ) / 21

LCM(61,42,163,861) = 359558766 / 21

LCM(61,42,163,861) = 17121846


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 6/61, 95/42, 15/163, 806/861

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 6/61, 95/42, 15/163, 806/861?

Answer: GCF of Numerators as per given numbers 6/61, 95/42, 15/163, 806/861 is

GCF of Numerators i.e. for 6,95,15,806 is 1

LCM of denominators i.e. for 61,42,163,861 is 17121846.

Thus, GCF of Fractions is 1/17121846.Finally, GCF of Fractions for 6/61, 95/42, 15/163, 806/861 is 1/17121846.