Greatest Common Factor of 496/609, 746/873, 747/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 496/609, 746/873, 747/301

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 496/609,746/873,747/301

Given fractions are 496/609,746/873,747/301

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 496,746,747

Greatest Common Factor of Numerators i.e. GCF of 496,746,747 is 1 .

LCM of Denominators means LCM of 609,873,301 as per the given fractions.

LCM of 609,873,301 is 7620417 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 496,746,747

GCF of Fractions 496/609,746/873,747/301 is 1/7620417

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

Greatest Common Factor of 496,746,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,746,747 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 496,746,747 . The biggest common factor number is the GCF number.
So the greatest common factor 496,746,747 is 1.

Lets's calculate LCM of 609,873,301

3 609, 873, 301
7 203, 291, 301
29, 291, 43

∴ So the LCM of the given numbers is 3 x 7 x 29 x 291 x 43 = 7620417

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7620417

Therefore, the GCF of Fractions 496/609,746/873,747/301 is 1/7620417

Least Common Multiple of 609,873,301 with GCF Formula

Least Common Multiple of 609,873,301 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 609,873,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,873,301) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(609,873,301) x common factors =1 x 21 = 21

LCM(609,873,301) = ( 609 × 873 × 301 ) / 21

LCM(609,873,301) = 160028757 / 21

LCM(609,873,301) = 7620417


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 496/609, 746/873, 747/301

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 496/609, 746/873, 747/301?

Answer: GCF of Numerators as per given numbers 496/609, 746/873, 747/301 is

GCF of Numerators i.e. for 496,746,747 is 1

LCM of denominators i.e. for 609,873,301 is 7620417.

Thus, GCF of Fractions is 1/7620417.Finally, GCF of Fractions for 496/609, 746/873, 747/301 is 1/7620417.