Greatest Common Factor of 100/27, 333/80, 455/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/27, 333/80, 455/140

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 100/27,333/80,455/140

Given fractions are 100/27,333/80,455/140

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 100,333,455

Greatest Common Factor of Numerators i.e. GCF of 100,333,455 is 1 .

LCM of Denominators means LCM of 27,80,140 as per the given fractions.

LCM of 27,80,140 is 15120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,333,455

GCF of Fractions 100/27,333/80,455/140 is 1/15120

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

Greatest Common Factor of 100,333,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,333,455 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 100,333,455 . The biggest common factor number is the GCF number.
So the greatest common factor 100,333,455 is 1.

Lets's calculate LCM of 27,80,140

2 27, 80, 140
2 27, 40, 70
5 27, 20, 35
27, 4, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 4 x 7 = 15120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15120

Therefore, the GCF of Fractions 100/27,333/80,455/140 is 1/15120

Least Common Multiple of 27,80,140 with GCF Formula

Least Common Multiple of 27,80,140 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 27,80,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,80,140) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(27,80,140) x common factors =1 x 20 = 20

LCM(27,80,140) = ( 27 × 80 × 140 ) / 20

LCM(27,80,140) = 302400 / 20

LCM(27,80,140) = 15120


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 100/27, 333/80, 455/140

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 100/27, 333/80, 455/140?

Answer: GCF of Numerators as per given numbers 100/27, 333/80, 455/140 is

GCF of Numerators i.e. for 100,333,455 is 1

LCM of denominators i.e. for 27,80,140 is 15120.

Thus, GCF of Fractions is 1/15120.Finally, GCF of Fractions for 100/27, 333/80, 455/140 is 1/15120.