Greatest Common Factor of 5123/49, 1209/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5123/49, 1209/468

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 5123/49,1209/468

Given fractions are 5123/49,1209/468

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 5123,1209

Greatest Common Factor of Numerators i.e. GCF of 5123,1209 is 1 .

LCM of Denominators means LCM of 49,468 as per the given fractions.

LCM of 49,468 is 22932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5123,1209

GCF of Fractions 5123/49,1209/468 is 1/22932

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

Greatest Common Factor of 5123,1209 By Matching Biggest Common Factor Method

Greatest Common Factor of 5123,1209 By Matching Biggest Common Factor Method

Factors of 5123

List of positive integer factors of 5123 that divides 5123 without a remainder.

1,47,109,5123

Factors of 1209

List of positive integer factors of 1209 that divides 1209 without a remainder.

1,3,13,31,39,93,403,1209

Greatest Common Factor

We found the factors 5123,1209 . The biggest common factor number is the GCF number.
So the greatest common factor 5123,1209 is 1.

Lets's calculate LCM of 49,468

Given numbers has no common factors except 1. So, there LCM is their product i.e 22932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22932

Therefore, the GCF of Fractions 5123/49,1209/468 is 1/22932

Least Common Multiple of 49,468 with GCF Formula

Least Common Multiple of 49,468 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 49,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,468) = 1

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

GCF(49,468) x common factors =1 x 1 = 1

LCM(49,468) = ( 49 × 468 ) / 1

LCM(49,468) = 22932 / 1

LCM(49,468) = 22932


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 5123/49, 1209/468

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 5123/49, 1209/468?

Answer: GCF of Numerators as per given numbers 5123/49, 1209/468 is

GCF of Numerators i.e. for 5123,1209 is 1

LCM of denominators i.e. for 49,468 is 22932.

Thus, GCF of Fractions is 1/22932.Finally, GCF of Fractions for 5123/49, 1209/468 is 1/22932.