Greatest Common Factor of 436/973, 440/906, 138/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 436/973, 440/906, 138/913

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 436/973,440/906,138/913

Given fractions are 436/973,440/906,138/913

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 436,440,138

Greatest Common Factor of Numerators i.e. GCF of 436,440,138 is 2 .

LCM of Denominators means LCM of 973,906,913 as per the given fractions.

LCM of 973,906,913 is 804844194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 436,440,138

GCF of Fractions 436/973,440/906,138/913 is 2/804844194

2 436, 440, 138
218, 220, 69

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 436,440,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,440,138 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 436,440,138 . The biggest common factor number is the GCF number.
So the greatest common factor 436,440,138 is 2.

Lets's calculate LCM of 973,906,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 804844194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/804844194

Therefore, the GCF of Fractions 436/973,440/906,138/913 is 2/804844194

Least Common Multiple of 973,906,913 with GCF Formula

Least Common Multiple of 973,906,913 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 973,906,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,906,913) = 1

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

GCF(973,906,913) x common factors =1 x 1 = 1

LCM(973,906,913) = ( 973 × 906 × 913 ) / 1

LCM(973,906,913) = 804844194 / 1

LCM(973,906,913) = 804844194


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 436/973, 440/906, 138/913

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 436/973, 440/906, 138/913?

Answer: GCF of Numerators as per given numbers 436/973, 440/906, 138/913 is

GCF of Numerators i.e. for 436,440,138 is 2

LCM of denominators i.e. for 973,906,913 is 804844194.

Thus, GCF of Fractions is 2/804844194.Finally, GCF of Fractions for 436/973, 440/906, 138/913 is 2/804844194.