Greatest Common Factor of 195/78, 6372/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/78, 6372/986

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 195/78,6372/986

Given fractions are 195/78,6372/986

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 195,6372

Greatest Common Factor of Numerators i.e. GCF of 195,6372 is 3 .

LCM of Denominators means LCM of 78,986 as per the given fractions.

LCM of 78,986 is 38454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,6372

GCF of Fractions 195/78,6372/986 is 3/38454

3 195, 6372
65, 2124

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

Greatest Common Factor of 195,6372 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,6372 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 6372

List of positive integer factors of 6372 that divides 6372 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372

Greatest Common Factor

We found the factors 195,6372 . The biggest common factor number is the GCF number.
So the greatest common factor 195,6372 is 3.

Lets's calculate LCM of 78,986

2 78, 986
39, 493

∴ So the LCM of the given numbers is 2 x 39 x 493 = 38454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38454

Therefore, the GCF of Fractions 195/78,6372/986 is 3/38454

Least Common Multiple of 78,986 with GCF Formula

Least Common Multiple of 78,986 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 78,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,986) = 2

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

GCF(78,986) x common factors =2 x 1 = 2

LCM(78,986) = ( 78 × 986 ) / 2

LCM(78,986) = 76908 / 2

LCM(78,986) = 38454


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 195/78, 6372/986

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 195/78, 6372/986?

Answer: GCF of Numerators as per given numbers 195/78, 6372/986 is

GCF of Numerators i.e. for 195,6372 is 3

LCM of denominators i.e. for 78,986 is 38454.

Thus, GCF of Fractions is 3/38454.Finally, GCF of Fractions for 195/78, 6372/986 is 3/38454.