Greatest Common Factor of 52/304, 368/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/304, 368/219

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 52/304,368/219

Given fractions are 52/304,368/219

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 52,368

Greatest Common Factor of Numerators i.e. GCF of 52,368 is 4 .

LCM of Denominators means LCM of 304,219 as per the given fractions.

LCM of 304,219 is 66576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,368

GCF of Fractions 52/304,368/219 is 4/66576

2 52, 368
2 26, 184
13, 92

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 52,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,368 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 52,368 . The biggest common factor number is the GCF number.
So the greatest common factor 52,368 is 4.

Lets's calculate LCM of 304,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 66576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/66576

Therefore, the GCF of Fractions 52/304,368/219 is 4/66576

Least Common Multiple of 304,219 with GCF Formula

Least Common Multiple of 304,219 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 304,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,219) = 1

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

GCF(304,219) x common factors =1 x 1 = 1

LCM(304,219) = ( 304 × 219 ) / 1

LCM(304,219) = 66576 / 1

LCM(304,219) = 66576


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 52/304, 368/219

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 52/304, 368/219?

Answer: GCF of Numerators as per given numbers 52/304, 368/219 is

GCF of Numerators i.e. for 52,368 is 4

LCM of denominators i.e. for 304,219 is 66576.

Thus, GCF of Fractions is 4/66576.Finally, GCF of Fractions for 52/304, 368/219 is 4/66576.