Greatest Common Factor of 6288/84, 1590/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6288/84, 1590/859

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 6288/84,1590/859

Given fractions are 6288/84,1590/859

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 6288,1590

Greatest Common Factor of Numerators i.e. GCF of 6288,1590 is 6 .

LCM of Denominators means LCM of 84,859 as per the given fractions.

LCM of 84,859 is 72156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6288,1590

GCF of Fractions 6288/84,1590/859 is 6/72156

2 6288, 1590
3 3144, 795
1048, 265

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

Greatest Common Factor of 6288,1590 By Matching Biggest Common Factor Method

Greatest Common Factor of 6288,1590 By Matching Biggest Common Factor Method

Factors of 6288

List of positive integer factors of 6288 that divides 6288 without a remainder.

1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590

Greatest Common Factor

We found the factors 6288,1590 . The biggest common factor number is the GCF number.
So the greatest common factor 6288,1590 is 6.

Lets's calculate LCM of 84,859

Given numbers has no common factors except 1. So, there LCM is their product i.e 72156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/72156

Therefore, the GCF of Fractions 6288/84,1590/859 is 6/72156

Least Common Multiple of 84,859 with GCF Formula

Least Common Multiple of 84,859 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 84,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,859) = 1

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

GCF(84,859) x common factors =1 x 1 = 1

LCM(84,859) = ( 84 × 859 ) / 1

LCM(84,859) = 72156 / 1

LCM(84,859) = 72156


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 6288/84, 1590/859

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 6288/84, 1590/859?

Answer: GCF of Numerators as per given numbers 6288/84, 1590/859 is

GCF of Numerators i.e. for 6288,1590 is 6

LCM of denominators i.e. for 84,859 is 72156.

Thus, GCF of Fractions is 6/72156.Finally, GCF of Fractions for 6288/84, 1590/859 is 6/72156.