Greatest Common Factor of 455/85, 143/52, 924/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/85, 143/52, 924/135

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 455/85,143/52,924/135

Given fractions are 455/85,143/52,924/135

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 455,143,924

Greatest Common Factor of Numerators i.e. GCF of 455,143,924 is 1 .

LCM of Denominators means LCM of 85,52,135 as per the given fractions.

LCM of 85,52,135 is 119340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,143,924

GCF of Fractions 455/85,143/52,924/135 is 1/119340

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

Greatest Common Factor of 455,143,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,143,924 By Matching Biggest Common Factor Method

Factors of 455

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

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

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 455,143,924 . The biggest common factor number is the GCF number.
So the greatest common factor 455,143,924 is 1.

Lets's calculate LCM of 85,52,135

5 85, 52, 135
17, 52, 27

∴ So the LCM of the given numbers is 5 x 17 x 52 x 27 = 119340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119340

Therefore, the GCF of Fractions 455/85,143/52,924/135 is 1/119340

Least Common Multiple of 85,52,135 with GCF Formula

Least Common Multiple of 85,52,135 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 85,52,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,52,135) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,52,135) x common factors =1 x 5 = 5

LCM(85,52,135) = ( 85 × 52 × 135 ) / 5

LCM(85,52,135) = 596700 / 5

LCM(85,52,135) = 119340


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 455/85, 143/52, 924/135

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 455/85, 143/52, 924/135?

Answer: GCF of Numerators as per given numbers 455/85, 143/52, 924/135 is

GCF of Numerators i.e. for 455,143,924 is 1

LCM of denominators i.e. for 85,52,135 is 119340.

Thus, GCF of Fractions is 1/119340.Finally, GCF of Fractions for 455/85, 143/52, 924/135 is 1/119340.