Greatest Common Factor of 100/78, 558/75, 342/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/78, 558/75, 342/919

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 100/78,558/75,342/919

Given fractions are 100/78,558/75,342/919

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 100,558,342

Greatest Common Factor of Numerators i.e. GCF of 100,558,342 is 2 .

LCM of Denominators means LCM of 78,75,919 as per the given fractions.

LCM of 78,75,919 is 1792050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,558,342

GCF of Fractions 100/78,558/75,342/919 is 2/1792050

2 100, 558, 342
50, 279, 171

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

Greatest Common Factor of 100,558,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,558,342 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 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 100,558,342 . The biggest common factor number is the GCF number.
So the greatest common factor 100,558,342 is 2.

Lets's calculate LCM of 78,75,919

3 78, 75, 919
26, 25, 919

∴ So the LCM of the given numbers is 3 x 26 x 25 x 919 = 1792050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1792050

Therefore, the GCF of Fractions 100/78,558/75,342/919 is 2/1792050

Least Common Multiple of 78,75,919 with GCF Formula

Least Common Multiple of 78,75,919 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 78,75,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,75,919) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,75,919) x common factors =1 x 3 = 3

LCM(78,75,919) = ( 78 × 75 × 919 ) / 3

LCM(78,75,919) = 5376150 / 3

LCM(78,75,919) = 1792050


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 100/78, 558/75, 342/919

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 100/78, 558/75, 342/919?

Answer: GCF of Numerators as per given numbers 100/78, 558/75, 342/919 is

GCF of Numerators i.e. for 100,558,342 is 2

LCM of denominators i.e. for 78,75,919 is 1792050.

Thus, GCF of Fractions is 2/1792050.Finally, GCF of Fractions for 100/78, 558/75, 342/919 is 2/1792050.