Greatest Common Factor of 5341/628, 2516/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5341/628, 2516/299

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 5341/628,2516/299

Given fractions are 5341/628,2516/299

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 5341,2516

Greatest Common Factor of Numerators i.e. GCF of 5341,2516 is 1 .

LCM of Denominators means LCM of 628,299 as per the given fractions.

LCM of 628,299 is 187772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5341,2516

GCF of Fractions 5341/628,2516/299 is 1/187772

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

Greatest Common Factor of 5341,2516 By Matching Biggest Common Factor Method

Greatest Common Factor of 5341,2516 By Matching Biggest Common Factor Method

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1,7,49,109,763,5341

Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1,2,4,17,34,37,68,74,148,629,1258,2516

Greatest Common Factor

We found the factors 5341,2516 . The biggest common factor number is the GCF number.
So the greatest common factor 5341,2516 is 1.

Lets's calculate LCM of 628,299

Given numbers has no common factors except 1. So, there LCM is their product i.e 187772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187772

Therefore, the GCF of Fractions 5341/628,2516/299 is 1/187772

Least Common Multiple of 628,299 with GCF Formula

Least Common Multiple of 628,299 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 628,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,299) = 1

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

GCF(628,299) x common factors =1 x 1 = 1

LCM(628,299) = ( 628 × 299 ) / 1

LCM(628,299) = 187772 / 1

LCM(628,299) = 187772


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 5341/628, 2516/299

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 5341/628, 2516/299?

Answer: GCF of Numerators as per given numbers 5341/628, 2516/299 is

GCF of Numerators i.e. for 5341,2516 is 1

LCM of denominators i.e. for 628,299 is 187772.

Thus, GCF of Fractions is 1/187772.Finally, GCF of Fractions for 5341/628, 2516/299 is 1/187772.