Greatest Common Factor of 99/78, 862/63, 950/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/78, 862/63, 950/204

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 99/78,862/63,950/204

Given fractions are 99/78,862/63,950/204

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 99,862,950

Greatest Common Factor of Numerators i.e. GCF of 99,862,950 is 1 .

LCM of Denominators means LCM of 78,63,204 as per the given fractions.

LCM of 78,63,204 is 55692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,862,950

GCF of Fractions 99/78,862/63,950/204 is 1/55692

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

Greatest Common Factor of 99,862,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,862,950 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 99,862,950 . The biggest common factor number is the GCF number.
So the greatest common factor 99,862,950 is 1.

Lets's calculate LCM of 78,63,204

2 78, 63, 204
3 39, 63, 102
13, 21, 34

∴ So the LCM of the given numbers is 2 x 3 x 13 x 21 x 34 = 55692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55692

Therefore, the GCF of Fractions 99/78,862/63,950/204 is 1/55692

Least Common Multiple of 78,63,204 with GCF Formula

Least Common Multiple of 78,63,204 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 78,63,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,63,204) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(78,63,204) x common factors =3 x 6 = 18

LCM(78,63,204) = ( 78 × 63 × 204 ) / 18

LCM(78,63,204) = 1002456 / 18

LCM(78,63,204) = 55692


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 99/78, 862/63, 950/204

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 99/78, 862/63, 950/204?

Answer: GCF of Numerators as per given numbers 99/78, 862/63, 950/204 is

GCF of Numerators i.e. for 99,862,950 is 1

LCM of denominators i.e. for 78,63,204 is 55692.

Thus, GCF of Fractions is 1/55692.Finally, GCF of Fractions for 99/78, 862/63, 950/204 is 1/55692.