Greatest Common Factor of 84/80, 30/30, 135/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/80, 30/30, 135/852

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 84/80,30/30,135/852

Given fractions are 84/80,30/30,135/852

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 84,30,135

Greatest Common Factor of Numerators i.e. GCF of 84,30,135 is 3 .

LCM of Denominators means LCM of 80,30,852 as per the given fractions.

LCM of 80,30,852 is 17040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,30,135

GCF of Fractions 84/80,30/30,135/852 is 3/17040

3 84, 30, 135
28, 10, 45

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

Greatest Common Factor of 84,30,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,30,135 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 84,30,135 . The biggest common factor number is the GCF number.
So the greatest common factor 84,30,135 is 3.

Lets's calculate LCM of 80,30,852

2 80, 30, 852
2 40, 15, 426
3 20, 15, 213
5 20, 5, 71
4, 1, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 1 x 71 = 17040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17040

Therefore, the GCF of Fractions 84/80,30/30,135/852 is 3/17040

Least Common Multiple of 80,30,852 with GCF Formula

Least Common Multiple of 80,30,852 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 80,30,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,30,852) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(80,30,852) x common factors =2 x 60 = 120

LCM(80,30,852) = ( 80 × 30 × 852 ) / 120

LCM(80,30,852) = 2044800 / 120

LCM(80,30,852) = 17040


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 84/80, 30/30, 135/852

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 84/80, 30/30, 135/852?

Answer: GCF of Numerators as per given numbers 84/80, 30/30, 135/852 is

GCF of Numerators i.e. for 84,30,135 is 3

LCM of denominators i.e. for 80,30,852 is 17040.

Thus, GCF of Fractions is 3/17040.Finally, GCF of Fractions for 84/80, 30/30, 135/852 is 3/17040.