Greatest Common Factor of 1824/613, 2869/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1824/613, 2869/498

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 1824/613,2869/498

Given fractions are 1824/613,2869/498

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 1824,2869

Greatest Common Factor of Numerators i.e. GCF of 1824,2869 is 19 .

LCM of Denominators means LCM of 613,498 as per the given fractions.

LCM of 613,498 is 305274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1824,2869

GCF of Fractions 1824/613,2869/498 is 19/305274

19 1824, 2869
96, 151

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 1824,2869 By Matching Biggest Common Factor Method

Greatest Common Factor of 1824,2869 By Matching Biggest Common Factor Method

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824

Factors of 2869

List of positive integer factors of 2869 that divides 2869 without a remainder.

1,19,151,2869

Greatest Common Factor

We found the factors 1824,2869 . The biggest common factor number is the GCF number.
So the greatest common factor 1824,2869 is 19.

Lets's calculate LCM of 613,498

Given numbers has no common factors except 1. So, there LCM is their product i.e 305274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/305274

Therefore, the GCF of Fractions 1824/613,2869/498 is 19/305274

Least Common Multiple of 613,498 with GCF Formula

Least Common Multiple of 613,498 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 613,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,498) = 1

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

GCF(613,498) x common factors =1 x 1 = 1

LCM(613,498) = ( 613 × 498 ) / 1

LCM(613,498) = 305274 / 1

LCM(613,498) = 305274


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 1824/613, 2869/498

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 1824/613, 2869/498?

Answer: GCF of Numerators as per given numbers 1824/613, 2869/498 is

GCF of Numerators i.e. for 1824,2869 is 19

LCM of denominators i.e. for 613,498 is 305274.

Thus, GCF of Fractions is 19/305274.Finally, GCF of Fractions for 1824/613, 2869/498 is 19/305274.