Greatest Common Factor of 5239/304, 1942/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5239/304, 1942/330

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 5239/304,1942/330

Given fractions are 5239/304,1942/330

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 5239,1942

Greatest Common Factor of Numerators i.e. GCF of 5239,1942 is 1 .

LCM of Denominators means LCM of 304,330 as per the given fractions.

LCM of 304,330 is 50160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5239,1942

GCF of Fractions 5239/304,1942/330 is 1/50160

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5239,1942 By Matching Biggest Common Factor Method

Greatest Common Factor of 5239,1942 By Matching Biggest Common Factor Method

Factors of 5239

List of positive integer factors of 5239 that divides 5239 without a remainder.

1,13,31,169,403,5239

Factors of 1942

List of positive integer factors of 1942 that divides 1942 without a remainder.

1,2,971,1942

Greatest Common Factor

We found the factors 5239,1942 . The biggest common factor number is the GCF number.
So the greatest common factor 5239,1942 is 1.

Lets's calculate LCM of 304,330

2 304, 330
152, 165

∴ So the LCM of the given numbers is 2 x 152 x 165 = 50160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50160

Therefore, the GCF of Fractions 5239/304,1942/330 is 1/50160

Least Common Multiple of 304,330 with GCF Formula

Least Common Multiple of 304,330 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 304,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,330) = 2

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

GCF(304,330) x common factors =2 x 1 = 2

LCM(304,330) = ( 304 × 330 ) / 2

LCM(304,330) = 100320 / 2

LCM(304,330) = 50160


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 5239/304, 1942/330

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 5239/304, 1942/330?

Answer: GCF of Numerators as per given numbers 5239/304, 1942/330 is

GCF of Numerators i.e. for 5239,1942 is 1

LCM of denominators i.e. for 304,330 is 50160.

Thus, GCF of Fractions is 1/50160.Finally, GCF of Fractions for 5239/304, 1942/330 is 1/50160.