Greatest Common Factor of 867/60, 112/84, 878/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/60, 112/84, 878/18

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 867/60,112/84,878/18

Given fractions are 867/60,112/84,878/18

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 867,112,878

Greatest Common Factor of Numerators i.e. GCF of 867,112,878 is 1 .

LCM of Denominators means LCM of 60,84,18 as per the given fractions.

LCM of 60,84,18 is 1260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,112,878

GCF of Fractions 867/60,112/84,878/18 is 1/1260

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

Greatest Common Factor of 867,112,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,112,878 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 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 867,112,878 . The biggest common factor number is the GCF number.
So the greatest common factor 867,112,878 is 1.

Lets's calculate LCM of 60,84,18

2 60, 84, 18
2 30, 42, 9
3 15, 21, 9
5, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 3 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260

Therefore, the GCF of Fractions 867/60,112/84,878/18 is 1/1260

Least Common Multiple of 60,84,18 with GCF Formula

Least Common Multiple of 60,84,18 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 60,84,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,84,18) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(60,84,18) x common factors =6 x 12 = 72

LCM(60,84,18) = ( 60 × 84 × 18 ) / 72

LCM(60,84,18) = 90720 / 72

LCM(60,84,18) = 1260


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 867/60, 112/84, 878/18

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 867/60, 112/84, 878/18?

Answer: GCF of Numerators as per given numbers 867/60, 112/84, 878/18 is

GCF of Numerators i.e. for 867,112,878 is 1

LCM of denominators i.e. for 60,84,18 is 1260.

Thus, GCF of Fractions is 1/1260.Finally, GCF of Fractions for 867/60, 112/84, 878/18 is 1/1260.