Greatest Common Factor of 390/424, 142/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/424, 142/569

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 390/424,142/569

Given fractions are 390/424,142/569

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 390,142

Greatest Common Factor of Numerators i.e. GCF of 390,142 is 2 .

LCM of Denominators means LCM of 424,569 as per the given fractions.

LCM of 424,569 is 241256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,142

GCF of Fractions 390/424,142/569 is 2/241256

2 390, 142
195, 71

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 390,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,142 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 390,142 . The biggest common factor number is the GCF number.
So the greatest common factor 390,142 is 2.

Lets's calculate LCM of 424,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 241256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/241256

Therefore, the GCF of Fractions 390/424,142/569 is 2/241256

Least Common Multiple of 424,569 with GCF Formula

Least Common Multiple of 424,569 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 424,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,569) = 1

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

GCF(424,569) x common factors =1 x 1 = 1

LCM(424,569) = ( 424 × 569 ) / 1

LCM(424,569) = 241256 / 1

LCM(424,569) = 241256


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 390/424, 142/569

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 390/424, 142/569?

Answer: GCF of Numerators as per given numbers 390/424, 142/569 is

GCF of Numerators i.e. for 390,142 is 2

LCM of denominators i.e. for 424,569 is 241256.

Thus, GCF of Fractions is 2/241256.Finally, GCF of Fractions for 390/424, 142/569 is 2/241256.