Greatest Common Factor of 5116/238, 5406/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5116/238, 5406/943

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 5116/238,5406/943

Given fractions are 5116/238,5406/943

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 5116,5406

Greatest Common Factor of Numerators i.e. GCF of 5116,5406 is 2 .

LCM of Denominators means LCM of 238,943 as per the given fractions.

LCM of 238,943 is 224434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5116,5406

GCF of Fractions 5116/238,5406/943 is 2/224434

2 5116, 5406
2558, 2703

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

Greatest Common Factor of 5116,5406 By Matching Biggest Common Factor Method

Greatest Common Factor of 5116,5406 By Matching Biggest Common Factor Method

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1,2,4,1279,2558,5116

Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406

Greatest Common Factor

We found the factors 5116,5406 . The biggest common factor number is the GCF number.
So the greatest common factor 5116,5406 is 2.

Lets's calculate LCM of 238,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 224434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224434

Therefore, the GCF of Fractions 5116/238,5406/943 is 2/224434

Least Common Multiple of 238,943 with GCF Formula

Least Common Multiple of 238,943 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 238,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,943) = 1

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

GCF(238,943) x common factors =1 x 1 = 1

LCM(238,943) = ( 238 × 943 ) / 1

LCM(238,943) = 224434 / 1

LCM(238,943) = 224434


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 5116/238, 5406/943

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 5116/238, 5406/943?

Answer: GCF of Numerators as per given numbers 5116/238, 5406/943 is

GCF of Numerators i.e. for 5116,5406 is 2

LCM of denominators i.e. for 238,943 is 224434.

Thus, GCF of Fractions is 2/224434.Finally, GCF of Fractions for 5116/238, 5406/943 is 2/224434.