Greatest Common Factor of 282/64, 409/86, 310/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/64, 409/86, 310/756

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 282/64,409/86,310/756

Given fractions are 282/64,409/86,310/756

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 282,409,310

Greatest Common Factor of Numerators i.e. GCF of 282,409,310 is 1 .

LCM of Denominators means LCM of 64,86,756 as per the given fractions.

LCM of 64,86,756 is 520128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,409,310

GCF of Fractions 282/64,409/86,310/756 is 1/520128

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

Greatest Common Factor of 282,409,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,409,310 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 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 282,409,310 . The biggest common factor number is the GCF number.
So the greatest common factor 282,409,310 is 1.

Lets's calculate LCM of 64,86,756

2 64, 86, 756
2 32, 43, 378
16, 43, 189

∴ So the LCM of the given numbers is 2 x 2 x 16 x 43 x 189 = 520128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520128

Therefore, the GCF of Fractions 282/64,409/86,310/756 is 1/520128

Least Common Multiple of 64,86,756 with GCF Formula

Least Common Multiple of 64,86,756 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 64,86,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,86,756) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,86,756) x common factors =2 x 4 = 8

LCM(64,86,756) = ( 64 × 86 × 756 ) / 8

LCM(64,86,756) = 4161024 / 8

LCM(64,86,756) = 520128


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 282/64, 409/86, 310/756

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 282/64, 409/86, 310/756?

Answer: GCF of Numerators as per given numbers 282/64, 409/86, 310/756 is

GCF of Numerators i.e. for 282,409,310 is 1

LCM of denominators i.e. for 64,86,756 is 520128.

Thus, GCF of Fractions is 1/520128.Finally, GCF of Fractions for 282/64, 409/86, 310/756 is 1/520128.