Greatest Common Factor of 5338/52, 6282/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5338/52, 6282/242

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 5338/52,6282/242

Given fractions are 5338/52,6282/242

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 5338,6282

Greatest Common Factor of Numerators i.e. GCF of 5338,6282 is 2 .

LCM of Denominators means LCM of 52,242 as per the given fractions.

LCM of 52,242 is 6292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5338,6282

GCF of Fractions 5338/52,6282/242 is 2/6292

2 5338, 6282
2669, 3141

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

Greatest Common Factor of 5338,6282 By Matching Biggest Common Factor Method

Greatest Common Factor of 5338,6282 By Matching Biggest Common Factor Method

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

Factors of 6282

List of positive integer factors of 6282 that divides 6282 without a remainder.

1,2,3,6,9,18,349,698,1047,2094,3141,6282

Greatest Common Factor

We found the factors 5338,6282 . The biggest common factor number is the GCF number.
So the greatest common factor 5338,6282 is 2.

Lets's calculate LCM of 52,242

2 52, 242
26, 121

∴ So the LCM of the given numbers is 2 x 26 x 121 = 6292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6292

Therefore, the GCF of Fractions 5338/52,6282/242 is 2/6292

Least Common Multiple of 52,242 with GCF Formula

Least Common Multiple of 52,242 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 52,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,242) = 2

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

GCF(52,242) x common factors =2 x 1 = 2

LCM(52,242) = ( 52 × 242 ) / 2

LCM(52,242) = 12584 / 2

LCM(52,242) = 6292


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 5338/52, 6282/242

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 5338/52, 6282/242?

Answer: GCF of Numerators as per given numbers 5338/52, 6282/242 is

GCF of Numerators i.e. for 5338,6282 is 2

LCM of denominators i.e. for 52,242 is 6292.

Thus, GCF of Fractions is 2/6292.Finally, GCF of Fractions for 5338/52, 6282/242 is 2/6292.