Greatest Common Factor of 515/632, 2472/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 515/632, 2472/299

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 515/632,2472/299

Given fractions are 515/632,2472/299

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 515,2472

Greatest Common Factor of Numerators i.e. GCF of 515,2472 is 103 .

LCM of Denominators means LCM of 632,299 as per the given fractions.

LCM of 632,299 is 188968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 515,2472

GCF of Fractions 515/632,2472/299 is 103/188968

103 515, 2472
5, 24

∴ So the GCF of the given numbers is 103 = 103

Greatest Common Factor of 515,2472 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,2472 By Matching Biggest Common Factor Method

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 2472

List of positive integer factors of 2472 that divides 2472 without a remainder.

1,2,3,4,6,8,12,24,103,206,309,412,618,824,1236,2472

Greatest Common Factor

We found the factors 515,2472 . The biggest common factor number is the GCF number.
So the greatest common factor 515,2472 is 103.

Lets's calculate LCM of 632,299

Given numbers has no common factors except 1. So, there LCM is their product i.e 188968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/188968

Therefore, the GCF of Fractions 515/632,2472/299 is 103/188968

Least Common Multiple of 632,299 with GCF Formula

Least Common Multiple of 632,299 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 632,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,299) = 1

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

GCF(632,299) x common factors =1 x 1 = 1

LCM(632,299) = ( 632 × 299 ) / 1

LCM(632,299) = 188968 / 1

LCM(632,299) = 188968


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 515/632, 2472/299

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 515/632, 2472/299?

Answer: GCF of Numerators as per given numbers 515/632, 2472/299 is

GCF of Numerators i.e. for 515,2472 is 103

LCM of denominators i.e. for 632,299 is 188968.

Thus, GCF of Fractions is 103/188968.Finally, GCF of Fractions for 515/632, 2472/299 is 103/188968.