Greatest Common Factor of 42/858, 998/422, 692/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/858, 998/422, 692/598

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 42/858,998/422,692/598

Given fractions are 42/858,998/422,692/598

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 42,998,692

Greatest Common Factor of Numerators i.e. GCF of 42,998,692 is 2 .

LCM of Denominators means LCM of 858,422,598 as per the given fractions.

LCM of 858,422,598 is 4163874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,998,692

GCF of Fractions 42/858,998/422,692/598 is 2/4163874

2 42, 998, 692
21, 499, 346

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

Greatest Common Factor of 42,998,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,998,692 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 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 42,998,692 . The biggest common factor number is the GCF number.
So the greatest common factor 42,998,692 is 2.

Lets's calculate LCM of 858,422,598

2 858, 422, 598
13 429, 211, 299
33, 211, 23

∴ So the LCM of the given numbers is 2 x 13 x 33 x 211 x 23 = 4163874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4163874

Therefore, the GCF of Fractions 42/858,998/422,692/598 is 2/4163874

Least Common Multiple of 858,422,598 with GCF Formula

Least Common Multiple of 858,422,598 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 858,422,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,422,598) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(858,422,598) x common factors =2 x 26 = 52

LCM(858,422,598) = ( 858 × 422 × 598 ) / 52

LCM(858,422,598) = 216521448 / 52

LCM(858,422,598) = 4163874


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 42/858, 998/422, 692/598

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 42/858, 998/422, 692/598?

Answer: GCF of Numerators as per given numbers 42/858, 998/422, 692/598 is

GCF of Numerators i.e. for 42,998,692 is 2

LCM of denominators i.e. for 858,422,598 is 4163874.

Thus, GCF of Fractions is 2/4163874.Finally, GCF of Fractions for 42/858, 998/422, 692/598 is 2/4163874.