Greatest Common Factor of 42/117, 398/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/117, 398/934

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 42/117,398/934

Given fractions are 42/117,398/934

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 42,398

Greatest Common Factor of Numerators i.e. GCF of 42,398 is 2 .

LCM of Denominators means LCM of 117,934 as per the given fractions.

LCM of 117,934 is 109278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,398

GCF of Fractions 42/117,398/934 is 2/109278

2 42, 398
21, 199

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

Greatest Common Factor of 42,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,398 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 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 42,398 . The biggest common factor number is the GCF number.
So the greatest common factor 42,398 is 2.

Lets's calculate LCM of 117,934

Given numbers has no common factors except 1. So, there LCM is their product i.e 109278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109278

Therefore, the GCF of Fractions 42/117,398/934 is 2/109278

Least Common Multiple of 117,934 with GCF Formula

Least Common Multiple of 117,934 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 117,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,934) = 1

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

GCF(117,934) x common factors =1 x 1 = 1

LCM(117,934) = ( 117 × 934 ) / 1

LCM(117,934) = 109278 / 1

LCM(117,934) = 109278


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 42/117, 398/934

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 42/117, 398/934?

Answer: GCF of Numerators as per given numbers 42/117, 398/934 is

GCF of Numerators i.e. for 42,398 is 2

LCM of denominators i.e. for 117,934 is 109278.

Thus, GCF of Fractions is 2/109278.Finally, GCF of Fractions for 42/117, 398/934 is 2/109278.