Greatest Common Factor of 6889/288, 1452/8669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6889/288, 1452/8669

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 6889/288,1452/8669

Given fractions are 6889/288,1452/8669

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 6889,1452

Greatest Common Factor of Numerators i.e. GCF of 6889,1452 is 1 .

LCM of Denominators means LCM of 288,8669 as per the given fractions.

LCM of 288,8669 is 2496672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6889,1452

GCF of Fractions 6889/288,1452/8669 is 1/2496672

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

Greatest Common Factor of 6889,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 6889,1452 By Matching Biggest Common Factor Method

Factors of 6889

List of positive integer factors of 6889 that divides 6889 without a remainder.

1,83,6889

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 6889,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 6889,1452 is 1.

Lets's calculate LCM of 288,8669

Given numbers has no common factors except 1. So, there LCM is their product i.e 2496672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2496672

Therefore, the GCF of Fractions 6889/288,1452/8669 is 1/2496672

Least Common Multiple of 288,8669 with GCF Formula

Least Common Multiple of 288,8669 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 288,8669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,8669) = 1

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

GCF(288,8669) x common factors =1 x 1 = 1

LCM(288,8669) = ( 288 × 8669 ) / 1

LCM(288,8669) = 2496672 / 1

LCM(288,8669) = 2496672


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 6889/288, 1452/8669

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 6889/288, 1452/8669?

Answer: GCF of Numerators as per given numbers 6889/288, 1452/8669 is

GCF of Numerators i.e. for 6889,1452 is 1

LCM of denominators i.e. for 288,8669 is 2496672.

Thus, GCF of Fractions is 1/2496672.Finally, GCF of Fractions for 6889/288, 1452/8669 is 1/2496672.