Greatest Common Factor of 810/37, 4326/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 810/37, 4326/458

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 810/37,4326/458

Given fractions are 810/37,4326/458

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 810,4326

Greatest Common Factor of Numerators i.e. GCF of 810,4326 is 6 .

LCM of Denominators means LCM of 37,458 as per the given fractions.

LCM of 37,458 is 16946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 810,4326

GCF of Fractions 810/37,4326/458 is 6/16946

2 810, 4326
3 405, 2163
135, 721

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 810,4326 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,4326 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326

Greatest Common Factor

We found the factors 810,4326 . The biggest common factor number is the GCF number.
So the greatest common factor 810,4326 is 6.

Lets's calculate LCM of 37,458

Given numbers has no common factors except 1. So, there LCM is their product i.e 16946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/16946

Therefore, the GCF of Fractions 810/37,4326/458 is 6/16946

Least Common Multiple of 37,458 with GCF Formula

Least Common Multiple of 37,458 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 37,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,458) = 1

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

GCF(37,458) x common factors =1 x 1 = 1

LCM(37,458) = ( 37 × 458 ) / 1

LCM(37,458) = 16946 / 1

LCM(37,458) = 16946


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 810/37, 4326/458

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 810/37, 4326/458?

Answer: GCF of Numerators as per given numbers 810/37, 4326/458 is

GCF of Numerators i.e. for 810,4326 is 6

LCM of denominators i.e. for 37,458 is 16946.

Thus, GCF of Fractions is 6/16946.Finally, GCF of Fractions for 810/37, 4326/458 is 6/16946.