Greatest Common Factor of 5187/224, 2484/1699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5187/224, 2484/1699

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 5187/224,2484/1699

Given fractions are 5187/224,2484/1699

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 5187,2484

Greatest Common Factor of Numerators i.e. GCF of 5187,2484 is 3 .

LCM of Denominators means LCM of 224,1699 as per the given fractions.

LCM of 224,1699 is 380576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5187,2484

GCF of Fractions 5187/224,2484/1699 is 3/380576

3 5187, 2484
1729, 828

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5187,2484 By Matching Biggest Common Factor Method

Greatest Common Factor of 5187,2484 By Matching Biggest Common Factor Method

Factors of 5187

List of positive integer factors of 5187 that divides 5187 without a remainder.

1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187

Factors of 2484

List of positive integer factors of 2484 that divides 2484 without a remainder.

1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484

Greatest Common Factor

We found the factors 5187,2484 . The biggest common factor number is the GCF number.
So the greatest common factor 5187,2484 is 3.

Lets's calculate LCM of 224,1699

Given numbers has no common factors except 1. So, there LCM is their product i.e 380576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/380576

Therefore, the GCF of Fractions 5187/224,2484/1699 is 3/380576

Least Common Multiple of 224,1699 with GCF Formula

Least Common Multiple of 224,1699 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 224,1699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,1699) = 1

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

GCF(224,1699) x common factors =1 x 1 = 1

LCM(224,1699) = ( 224 × 1699 ) / 1

LCM(224,1699) = 380576 / 1

LCM(224,1699) = 380576


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 5187/224, 2484/1699

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 5187/224, 2484/1699?

Answer: GCF of Numerators as per given numbers 5187/224, 2484/1699 is

GCF of Numerators i.e. for 5187,2484 is 3

LCM of denominators i.e. for 224,1699 is 380576.

Thus, GCF of Fractions is 3/380576.Finally, GCF of Fractions for 5187/224, 2484/1699 is 3/380576.