Greatest Common Factor of 596/42, 954/1123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/42, 954/1123

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 596/42,954/1123

Given fractions are 596/42,954/1123

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 596,954

Greatest Common Factor of Numerators i.e. GCF of 596,954 is 2 .

LCM of Denominators means LCM of 42,1123 as per the given fractions.

LCM of 42,1123 is 47166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,954

GCF of Fractions 596/42,954/1123 is 2/47166

2 596, 954
298, 477

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

Greatest Common Factor of 596,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,954 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 596,954 . The biggest common factor number is the GCF number.
So the greatest common factor 596,954 is 2.

Lets's calculate LCM of 42,1123

Given numbers has no common factors except 1. So, there LCM is their product i.e 47166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47166

Therefore, the GCF of Fractions 596/42,954/1123 is 2/47166

Least Common Multiple of 42,1123 with GCF Formula

Least Common Multiple of 42,1123 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 42,1123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,1123) = 1

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

GCF(42,1123) x common factors =1 x 1 = 1

LCM(42,1123) = ( 42 × 1123 ) / 1

LCM(42,1123) = 47166 / 1

LCM(42,1123) = 47166


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 596/42, 954/1123

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 596/42, 954/1123?

Answer: GCF of Numerators as per given numbers 596/42, 954/1123 is

GCF of Numerators i.e. for 596,954 is 2

LCM of denominators i.e. for 42,1123 is 47166.

Thus, GCF of Fractions is 2/47166.Finally, GCF of Fractions for 596/42, 954/1123 is 2/47166.