Greatest Common Factor of 407/273, 641/423, 554/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/273, 641/423, 554/846

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 407/273,641/423,554/846

Given fractions are 407/273,641/423,554/846

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 407,641,554

Greatest Common Factor of Numerators i.e. GCF of 407,641,554 is 1 .

LCM of Denominators means LCM of 273,423,846 as per the given fractions.

LCM of 273,423,846 is 76986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,641,554

GCF of Fractions 407/273,641/423,554/846 is 1/76986

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

Greatest Common Factor of 407,641,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,641,554 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 407,641,554 . The biggest common factor number is the GCF number.
So the greatest common factor 407,641,554 is 1.

Lets's calculate LCM of 273,423,846

3 273, 423, 846
3 91, 141, 282
47 91, 47, 94
91, 1, 2

∴ So the LCM of the given numbers is 3 x 3 x 47 x 91 x 1 x 2 = 76986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76986

Therefore, the GCF of Fractions 407/273,641/423,554/846 is 1/76986

Least Common Multiple of 273,423,846 with GCF Formula

Least Common Multiple of 273,423,846 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 273,423,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,423,846) = 3

common factors(in case of two or more numbers have common factors) = 423

GCF(273,423,846) x common factors =3 x 423 = 1269

LCM(273,423,846) = ( 273 × 423 × 846 ) / 1269

LCM(273,423,846) = 97695234 / 1269

LCM(273,423,846) = 76986


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 407/273, 641/423, 554/846

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 407/273, 641/423, 554/846?

Answer: GCF of Numerators as per given numbers 407/273, 641/423, 554/846 is

GCF of Numerators i.e. for 407,641,554 is 1

LCM of denominators i.e. for 273,423,846 is 76986.

Thus, GCF of Fractions is 1/76986.Finally, GCF of Fractions for 407/273, 641/423, 554/846 is 1/76986.