Greatest Common Factor of 357/282, 783/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/282, 783/318

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 357/282,783/318

Given fractions are 357/282,783/318

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 357,783

Greatest Common Factor of Numerators i.e. GCF of 357,783 is 3 .

LCM of Denominators means LCM of 282,318 as per the given fractions.

LCM of 282,318 is 14946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,783

GCF of Fractions 357/282,783/318 is 3/14946

3 357, 783
119, 261

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 357,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,783 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 357,783 . The biggest common factor number is the GCF number.
So the greatest common factor 357,783 is 3.

Lets's calculate LCM of 282,318

2 282, 318
3 141, 159
47, 53

∴ So the LCM of the given numbers is 2 x 3 x 47 x 53 = 14946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14946

Therefore, the GCF of Fractions 357/282,783/318 is 3/14946

Least Common Multiple of 282,318 with GCF Formula

Least Common Multiple of 282,318 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 282,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,318) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(282,318) x common factors =6 x 1 = 6

LCM(282,318) = ( 282 × 318 ) / 6

LCM(282,318) = 89676 / 6

LCM(282,318) = 14946


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 357/282, 783/318

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 357/282, 783/318?

Answer: GCF of Numerators as per given numbers 357/282, 783/318 is

GCF of Numerators i.e. for 357,783 is 3

LCM of denominators i.e. for 282,318 is 14946.

Thus, GCF of Fractions is 3/14946.Finally, GCF of Fractions for 357/282, 783/318 is 3/14946.