Greatest Common Factor of 42/95, 258/90, 800/94

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/95, 258/90, 800/94

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 42/95,258/90,800/94

Given fractions are 42/95,258/90,800/94

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 42,258,800

Greatest Common Factor of Numerators i.e. GCF of 42,258,800 is 2 .

LCM of Denominators means LCM of 95,90,94 as per the given fractions.

LCM of 95,90,94 is 80370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,258,800

GCF of Fractions 42/95,258/90,800/94 is 2/80370

2 42, 258, 800
21, 129, 400

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 42,258,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,258,800 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 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 42,258,800 . The biggest common factor number is the GCF number.
So the greatest common factor 42,258,800 is 2.

Lets's calculate LCM of 95,90,94

2 95, 90, 94
5 95, 45, 47
19, 9, 47

∴ So the LCM of the given numbers is 2 x 5 x 19 x 9 x 47 = 80370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80370

Therefore, the GCF of Fractions 42/95,258/90,800/94 is 2/80370

Least Common Multiple of 95,90,94 with GCF Formula

Least Common Multiple of 95,90,94 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 95,90,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,90,94) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(95,90,94) x common factors =1 x 10 = 10

LCM(95,90,94) = ( 95 × 90 × 94 ) / 10

LCM(95,90,94) = 803700 / 10

LCM(95,90,94) = 80370


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 42/95, 258/90, 800/94

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 42/95, 258/90, 800/94?

Answer: GCF of Numerators as per given numbers 42/95, 258/90, 800/94 is

GCF of Numerators i.e. for 42,258,800 is 2

LCM of denominators i.e. for 95,90,94 is 80370.

Thus, GCF of Fractions is 2/80370.Finally, GCF of Fractions for 42/95, 258/90, 800/94 is 2/80370.