Greatest Common Factor of 867/51, 889/90, 192/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/51, 889/90, 192/99

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 867/51,889/90,192/99

Given fractions are 867/51,889/90,192/99

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 867,889,192

Greatest Common Factor of Numerators i.e. GCF of 867,889,192 is 1 .

LCM of Denominators means LCM of 51,90,99 as per the given fractions.

LCM of 51,90,99 is 16830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,889,192

GCF of Fractions 867/51,889/90,192/99 is 1/16830

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

Greatest Common Factor of 867,889,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,889,192 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 867,889,192 . The biggest common factor number is the GCF number.
So the greatest common factor 867,889,192 is 1.

Lets's calculate LCM of 51,90,99

3 51, 90, 99
3 17, 30, 33
17, 10, 11

∴ So the LCM of the given numbers is 3 x 3 x 17 x 10 x 11 = 16830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16830

Therefore, the GCF of Fractions 867/51,889/90,192/99 is 1/16830

Least Common Multiple of 51,90,99 with GCF Formula

Least Common Multiple of 51,90,99 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 51,90,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,90,99) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(51,90,99) x common factors =3 x 9 = 27

LCM(51,90,99) = ( 51 × 90 × 99 ) / 27

LCM(51,90,99) = 454410 / 27

LCM(51,90,99) = 16830


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 867/51, 889/90, 192/99

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 867/51, 889/90, 192/99?

Answer: GCF of Numerators as per given numbers 867/51, 889/90, 192/99 is

GCF of Numerators i.e. for 867,889,192 is 1

LCM of denominators i.e. for 51,90,99 is 16830.

Thus, GCF of Fractions is 1/16830.Finally, GCF of Fractions for 867/51, 889/90, 192/99 is 1/16830.