Greatest Common Factor of 5834/295, 5134/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5834/295, 5134/322

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 5834/295,5134/322

Given fractions are 5834/295,5134/322

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 5834,5134

Greatest Common Factor of Numerators i.e. GCF of 5834,5134 is 2 .

LCM of Denominators means LCM of 295,322 as per the given fractions.

LCM of 295,322 is 94990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5834,5134

GCF of Fractions 5834/295,5134/322 is 2/94990

2 5834, 5134
2917, 2567

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

Greatest Common Factor of 5834,5134 By Matching Biggest Common Factor Method

Greatest Common Factor of 5834,5134 By Matching Biggest Common Factor Method

Factors of 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1,2,2917,5834

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1,2,17,34,151,302,2567,5134

Greatest Common Factor

We found the factors 5834,5134 . The biggest common factor number is the GCF number.
So the greatest common factor 5834,5134 is 2.

Lets's calculate LCM of 295,322

Given numbers has no common factors except 1. So, there LCM is their product i.e 94990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94990

Therefore, the GCF of Fractions 5834/295,5134/322 is 2/94990

Least Common Multiple of 295,322 with GCF Formula

Least Common Multiple of 295,322 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 295,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,322) = 1

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

GCF(295,322) x common factors =1 x 1 = 1

LCM(295,322) = ( 295 × 322 ) / 1

LCM(295,322) = 94990 / 1

LCM(295,322) = 94990


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 5834/295, 5134/322

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 5834/295, 5134/322?

Answer: GCF of Numerators as per given numbers 5834/295, 5134/322 is

GCF of Numerators i.e. for 5834,5134 is 2

LCM of denominators i.e. for 295,322 is 94990.

Thus, GCF of Fractions is 2/94990.Finally, GCF of Fractions for 5834/295, 5134/322 is 2/94990.