Greatest Common Factor of 282/476, 687/554, 782/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/476, 687/554, 782/717

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 282/476,687/554,782/717

Given fractions are 282/476,687/554,782/717

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 282,687,782

Greatest Common Factor of Numerators i.e. GCF of 282,687,782 is 1 .

LCM of Denominators means LCM of 476,554,717 as per the given fractions.

LCM of 476,554,717 is 94537884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,687,782

GCF of Fractions 282/476,687/554,782/717 is 1/94537884

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

Greatest Common Factor of 282,687,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,687,782 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 282,687,782 . The biggest common factor number is the GCF number.
So the greatest common factor 282,687,782 is 1.

Lets's calculate LCM of 476,554,717

2 476, 554, 717
238, 277, 717

∴ So the LCM of the given numbers is 2 x 238 x 277 x 717 = 94537884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94537884

Therefore, the GCF of Fractions 282/476,687/554,782/717 is 1/94537884

Least Common Multiple of 476,554,717 with GCF Formula

Least Common Multiple of 476,554,717 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 476,554,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,554,717) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(476,554,717) x common factors =1 x 2 = 2

LCM(476,554,717) = ( 476 × 554 × 717 ) / 2

LCM(476,554,717) = 189075768 / 2

LCM(476,554,717) = 94537884


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 282/476, 687/554, 782/717

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 282/476, 687/554, 782/717?

Answer: GCF of Numerators as per given numbers 282/476, 687/554, 782/717 is

GCF of Numerators i.e. for 282,687,782 is 1

LCM of denominators i.e. for 476,554,717 is 94537884.

Thus, GCF of Fractions is 1/94537884.Finally, GCF of Fractions for 282/476, 687/554, 782/717 is 1/94537884.