Greatest Common Factor of 497/566, 749/461, 747/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 497/566, 749/461, 747/283

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 497/566,749/461,747/283

Given fractions are 497/566,749/461,747/283

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 497,749,747

Greatest Common Factor of Numerators i.e. GCF of 497,749,747 is 1 .

LCM of Denominators means LCM of 566,461,283 as per the given fractions.

LCM of 566,461,283 is 260926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 497,749,747

GCF of Fractions 497/566,749/461,747/283 is 1/260926

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

Greatest Common Factor of 497,749,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,749,747 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

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 497,749,747 . The biggest common factor number is the GCF number.
So the greatest common factor 497,749,747 is 1.

Lets's calculate LCM of 566,461,283

283 566, 461, 283
2, 461, 1

∴ So the LCM of the given numbers is 283 x 2 x 461 x 1 = 260926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260926

Therefore, the GCF of Fractions 497/566,749/461,747/283 is 1/260926

Least Common Multiple of 566,461,283 with GCF Formula

Least Common Multiple of 566,461,283 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 566,461,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,461,283) = 1

common factors(in case of two or more numbers have common factors) = 283

GCF(566,461,283) x common factors =1 x 283 = 283

LCM(566,461,283) = ( 566 × 461 × 283 ) / 283

LCM(566,461,283) = 73842058 / 283

LCM(566,461,283) = 260926


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 497/566, 749/461, 747/283

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 497/566, 749/461, 747/283?

Answer: GCF of Numerators as per given numbers 497/566, 749/461, 747/283 is

GCF of Numerators i.e. for 497,749,747 is 1

LCM of denominators i.e. for 566,461,283 is 260926.

Thus, GCF of Fractions is 1/260926.Finally, GCF of Fractions for 497/566, 749/461, 747/283 is 1/260926.