Greatest Common Factor of 2586/48, 1434/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2586/48, 1434/167

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 2586/48,1434/167

Given fractions are 2586/48,1434/167

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 2586,1434

Greatest Common Factor of Numerators i.e. GCF of 2586,1434 is 6 .

LCM of Denominators means LCM of 48,167 as per the given fractions.

LCM of 48,167 is 8016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2586,1434

GCF of Fractions 2586/48,1434/167 is 6/8016

2 2586, 1434
3 1293, 717
431, 239

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2586,1434 By Matching Biggest Common Factor Method

Greatest Common Factor of 2586,1434 By Matching Biggest Common Factor Method

Factors of 2586

List of positive integer factors of 2586 that divides 2586 without a remainder.

1,2,3,6,431,862,1293,2586

Factors of 1434

List of positive integer factors of 1434 that divides 1434 without a remainder.

1,2,3,6,239,478,717,1434

Greatest Common Factor

We found the factors 2586,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 2586,1434 is 6.

Lets's calculate LCM of 48,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 8016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8016

Therefore, the GCF of Fractions 2586/48,1434/167 is 6/8016

Least Common Multiple of 48,167 with GCF Formula

Least Common Multiple of 48,167 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 48,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,167) = 1

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

GCF(48,167) x common factors =1 x 1 = 1

LCM(48,167) = ( 48 × 167 ) / 1

LCM(48,167) = 8016 / 1

LCM(48,167) = 8016


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 2586/48, 1434/167

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 2586/48, 1434/167?

Answer: GCF of Numerators as per given numbers 2586/48, 1434/167 is

GCF of Numerators i.e. for 2586,1434 is 6

LCM of denominators i.e. for 48,167 is 8016.

Thus, GCF of Fractions is 6/8016.Finally, GCF of Fractions for 2586/48, 1434/167 is 6/8016.