Greatest Common Factor of 1209/236, 5026/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1209/236, 5026/344

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 1209/236,5026/344

Given fractions are 1209/236,5026/344

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 1209,5026

Greatest Common Factor of Numerators i.e. GCF of 1209,5026 is 1 .

LCM of Denominators means LCM of 236,344 as per the given fractions.

LCM of 236,344 is 20296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1209,5026

GCF of Fractions 1209/236,5026/344 is 1/20296

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

Greatest Common Factor of 1209,5026 By Matching Biggest Common Factor Method

Greatest Common Factor of 1209,5026 By Matching Biggest Common Factor Method

Factors of 1209

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

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

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1,2,7,14,359,718,2513,5026

Greatest Common Factor

We found the factors 1209,5026 . The biggest common factor number is the GCF number.
So the greatest common factor 1209,5026 is 1.

Lets's calculate LCM of 236,344

2 236, 344
2 118, 172
59, 86

∴ So the LCM of the given numbers is 2 x 2 x 59 x 86 = 20296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20296

Therefore, the GCF of Fractions 1209/236,5026/344 is 1/20296

Least Common Multiple of 236,344 with GCF Formula

Least Common Multiple of 236,344 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 236,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,344) = 4

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

GCF(236,344) x common factors =4 x 1 = 4

LCM(236,344) = ( 236 × 344 ) / 4

LCM(236,344) = 81184 / 4

LCM(236,344) = 20296


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 1209/236, 5026/344

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 1209/236, 5026/344?

Answer: GCF of Numerators as per given numbers 1209/236, 5026/344 is

GCF of Numerators i.e. for 1209,5026 is 1

LCM of denominators i.e. for 236,344 is 20296.

Thus, GCF of Fractions is 1/20296.Finally, GCF of Fractions for 1209/236, 5026/344 is 1/20296.