Greatest Common Factor of 282/42, 423/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/42, 423/668

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 282/42,423/668

Given fractions are 282/42,423/668

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 282,423

Greatest Common Factor of Numerators i.e. GCF of 282,423 is 141 .

LCM of Denominators means LCM of 42,668 as per the given fractions.

LCM of 42,668 is 14028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,423

GCF of Fractions 282/42,423/668 is 141/14028

3 282, 423
47 94, 141
2, 3

∴ So the GCF of the given numbers is 3 x 47 = 141

Greatest Common Factor of 282,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,423 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 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 282,423 . The biggest common factor number is the GCF number.
So the greatest common factor 282,423 is 141.

Lets's calculate LCM of 42,668

2 42, 668
21, 334

∴ So the LCM of the given numbers is 2 x 21 x 334 = 14028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 141/14028

Therefore, the GCF of Fractions 282/42,423/668 is 141/14028

Least Common Multiple of 42,668 with GCF Formula

Least Common Multiple of 42,668 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 42,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,668) = 2

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

GCF(42,668) x common factors =2 x 1 = 2

LCM(42,668) = ( 42 × 668 ) / 2

LCM(42,668) = 28056 / 2

LCM(42,668) = 14028


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 282/42, 423/668

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 282/42, 423/668?

Answer: GCF of Numerators as per given numbers 282/42, 423/668 is

GCF of Numerators i.e. for 282,423 is 141

LCM of denominators i.e. for 42,668 is 14028.

Thus, GCF of Fractions is 141/14028.Finally, GCF of Fractions for 282/42, 423/668 is 141/14028.