Greatest Common Factor of 42/79, 18/319, 424/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/79, 18/319, 424/889

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 42/79,18/319,424/889

Given fractions are 42/79,18/319,424/889

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 42,18,424

Greatest Common Factor of Numerators i.e. GCF of 42,18,424 is 2 .

LCM of Denominators means LCM of 79,319,889 as per the given fractions.

LCM of 79,319,889 is 22403689 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,18,424

GCF of Fractions 42/79,18/319,424/889 is 2/22403689

2 42, 18, 424
21, 9, 212

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

Greatest Common Factor of 42,18,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,18,424 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 42,18,424 . The biggest common factor number is the GCF number.
So the greatest common factor 42,18,424 is 2.

Lets's calculate LCM of 79,319,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 22403689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22403689

Therefore, the GCF of Fractions 42/79,18/319,424/889 is 2/22403689

Least Common Multiple of 79,319,889 with GCF Formula

Least Common Multiple of 79,319,889 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 79,319,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,319,889) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,319,889) x common factors =1 x 1 = 1

LCM(79,319,889) = ( 79 × 319 × 889 ) / 1

LCM(79,319,889) = 22403689 / 1

LCM(79,319,889) = 22403689


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 42/79, 18/319, 424/889

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 42/79, 18/319, 424/889?

Answer: GCF of Numerators as per given numbers 42/79, 18/319, 424/889 is

GCF of Numerators i.e. for 42,18,424 is 2

LCM of denominators i.e. for 79,319,889 is 22403689.

Thus, GCF of Fractions is 2/22403689.Finally, GCF of Fractions for 42/79, 18/319, 424/889 is 2/22403689.