Greatest Common Factor of 471/938, 729/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 471/938, 729/445

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 471/938,729/445

Given fractions are 471/938,729/445

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 471,729

Greatest Common Factor of Numerators i.e. GCF of 471,729 is 3 .

LCM of Denominators means LCM of 938,445 as per the given fractions.

LCM of 938,445 is 417410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 471,729

GCF of Fractions 471/938,729/445 is 3/417410

3 471, 729
157, 243

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 471,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,729 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 471,729 . The biggest common factor number is the GCF number.
So the greatest common factor 471,729 is 3.

Lets's calculate LCM of 938,445

Given numbers has no common factors except 1. So, there LCM is their product i.e 417410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/417410

Therefore, the GCF of Fractions 471/938,729/445 is 3/417410

Least Common Multiple of 938,445 with GCF Formula

Least Common Multiple of 938,445 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 938,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,445) = 1

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

GCF(938,445) x common factors =1 x 1 = 1

LCM(938,445) = ( 938 × 445 ) / 1

LCM(938,445) = 417410 / 1

LCM(938,445) = 417410


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 471/938, 729/445

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 471/938, 729/445?

Answer: GCF of Numerators as per given numbers 471/938, 729/445 is

GCF of Numerators i.e. for 471,729 is 3

LCM of denominators i.e. for 938,445 is 417410.

Thus, GCF of Fractions is 3/417410.Finally, GCF of Fractions for 471/938, 729/445 is 3/417410.