Greatest Common Factor of 6142/123, 1463/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6142/123, 1463/717

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 6142/123,1463/717

Given fractions are 6142/123,1463/717

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 6142,1463

Greatest Common Factor of Numerators i.e. GCF of 6142,1463 is 1 .

LCM of Denominators means LCM of 123,717 as per the given fractions.

LCM of 123,717 is 29397 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6142,1463

GCF of Fractions 6142/123,1463/717 is 1/29397

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

Greatest Common Factor of 6142,1463 By Matching Biggest Common Factor Method

Greatest Common Factor of 6142,1463 By Matching Biggest Common Factor Method

Factors of 6142

List of positive integer factors of 6142 that divides 6142 without a remainder.

1,2,37,74,83,166,3071,6142

Factors of 1463

List of positive integer factors of 1463 that divides 1463 without a remainder.

1,7,11,19,77,133,209,1463

Greatest Common Factor

We found the factors 6142,1463 . The biggest common factor number is the GCF number.
So the greatest common factor 6142,1463 is 1.

Lets's calculate LCM of 123,717

3 123, 717
41, 239

∴ So the LCM of the given numbers is 3 x 41 x 239 = 29397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29397

Therefore, the GCF of Fractions 6142/123,1463/717 is 1/29397

Least Common Multiple of 123,717 with GCF Formula

Least Common Multiple of 123,717 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 123,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,717) = 3

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

GCF(123,717) x common factors =3 x 1 = 3

LCM(123,717) = ( 123 × 717 ) / 3

LCM(123,717) = 88191 / 3

LCM(123,717) = 29397


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 6142/123, 1463/717

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 6142/123, 1463/717?

Answer: GCF of Numerators as per given numbers 6142/123, 1463/717 is

GCF of Numerators i.e. for 6142,1463 is 1

LCM of denominators i.e. for 123,717 is 29397.

Thus, GCF of Fractions is 1/29397.Finally, GCF of Fractions for 6142/123, 1463/717 is 1/29397.