Greatest Common Factor of 42/235, 858/209, 541/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/235, 858/209, 541/585

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 42/235,858/209,541/585

Given fractions are 42/235,858/209,541/585

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 42,858,541

Greatest Common Factor of Numerators i.e. GCF of 42,858,541 is 1 .

LCM of Denominators means LCM of 235,209,585 as per the given fractions.

LCM of 235,209,585 is 5746455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,858,541

GCF of Fractions 42/235,858/209,541/585 is 1/5746455

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

Greatest Common Factor of 42,858,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,858,541 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 42,858,541 . The biggest common factor number is the GCF number.
So the greatest common factor 42,858,541 is 1.

Lets's calculate LCM of 235,209,585

5 235, 209, 585
47, 209, 117

∴ So the LCM of the given numbers is 5 x 47 x 209 x 117 = 5746455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5746455

Therefore, the GCF of Fractions 42/235,858/209,541/585 is 1/5746455

Least Common Multiple of 235,209,585 with GCF Formula

Least Common Multiple of 235,209,585 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 235,209,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,209,585) = 1

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

GCF(235,209,585) x common factors =1 x 5 = 5

LCM(235,209,585) = ( 235 × 209 × 585 ) / 5

LCM(235,209,585) = 28732275 / 5

LCM(235,209,585) = 5746455


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 42/235, 858/209, 541/585

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 42/235, 858/209, 541/585?

Answer: GCF of Numerators as per given numbers 42/235, 858/209, 541/585 is

GCF of Numerators i.e. for 42,858,541 is 1

LCM of denominators i.e. for 235,209,585 is 5746455.

Thus, GCF of Fractions is 1/5746455.Finally, GCF of Fractions for 42/235, 858/209, 541/585 is 1/5746455.