Greatest Common Factor of 5306/238, 3184/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5306/238, 3184/567

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 5306/238,3184/567

Given fractions are 5306/238,3184/567

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 5306,3184

Greatest Common Factor of Numerators i.e. GCF of 5306,3184 is 2 .

LCM of Denominators means LCM of 238,567 as per the given fractions.

LCM of 238,567 is 19278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5306,3184

GCF of Fractions 5306/238,3184/567 is 2/19278

2 5306, 3184
2653, 1592

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

Greatest Common Factor of 5306,3184 By Matching Biggest Common Factor Method

Greatest Common Factor of 5306,3184 By Matching Biggest Common Factor Method

Factors of 5306

List of positive integer factors of 5306 that divides 5306 without a remainder.

1,2,7,14,379,758,2653,5306

Factors of 3184

List of positive integer factors of 3184 that divides 3184 without a remainder.

1,2,4,8,16,199,398,796,1592,3184

Greatest Common Factor

We found the factors 5306,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 5306,3184 is 2.

Lets's calculate LCM of 238,567

7 238, 567
34, 81

∴ So the LCM of the given numbers is 7 x 34 x 81 = 19278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19278

Therefore, the GCF of Fractions 5306/238,3184/567 is 2/19278

Least Common Multiple of 238,567 with GCF Formula

Least Common Multiple of 238,567 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 238,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,567) = 7

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

GCF(238,567) x common factors =7 x 1 = 7

LCM(238,567) = ( 238 × 567 ) / 7

LCM(238,567) = 134946 / 7

LCM(238,567) = 19278


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 5306/238, 3184/567

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 5306/238, 3184/567?

Answer: GCF of Numerators as per given numbers 5306/238, 3184/567 is

GCF of Numerators i.e. for 5306,3184 is 2

LCM of denominators i.e. for 238,567 is 19278.

Thus, GCF of Fractions is 2/19278.Finally, GCF of Fractions for 5306/238, 3184/567 is 2/19278.