Greatest Common Factor of 8436/21, 1729/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8436/21, 1729/237

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 8436/21,1729/237

Given fractions are 8436/21,1729/237

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 8436,1729

Greatest Common Factor of Numerators i.e. GCF of 8436,1729 is 19 .

LCM of Denominators means LCM of 21,237 as per the given fractions.

LCM of 21,237 is 1659 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8436,1729

GCF of Fractions 8436/21,1729/237 is 19/1659

19 8436, 1729
444, 91

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

Greatest Common Factor of 8436,1729 By Matching Biggest Common Factor Method

Greatest Common Factor of 8436,1729 By Matching Biggest Common Factor Method

Factors of 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436

Factors of 1729

List of positive integer factors of 1729 that divides 1729 without a remainder.

1,7,13,19,91,133,247,1729

Greatest Common Factor

We found the factors 8436,1729 . The biggest common factor number is the GCF number.
So the greatest common factor 8436,1729 is 19.

Lets's calculate LCM of 21,237

3 21, 237
7, 79

∴ So the LCM of the given numbers is 3 x 7 x 79 = 1659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1659

Therefore, the GCF of Fractions 8436/21,1729/237 is 19/1659

Least Common Multiple of 21,237 with GCF Formula

Least Common Multiple of 21,237 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 21,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,237) = 3

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

GCF(21,237) x common factors =3 x 1 = 3

LCM(21,237) = ( 21 × 237 ) / 3

LCM(21,237) = 4977 / 3

LCM(21,237) = 1659


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 8436/21, 1729/237

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 8436/21, 1729/237?

Answer: GCF of Numerators as per given numbers 8436/21, 1729/237 is

GCF of Numerators i.e. for 8436,1729 is 19

LCM of denominators i.e. for 21,237 is 1659.

Thus, GCF of Fractions is 19/1659.Finally, GCF of Fractions for 8436/21, 1729/237 is 19/1659.