Greatest Common Factor of 4325/69, 6889/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4325/69, 6889/576

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 4325/69,6889/576

Given fractions are 4325/69,6889/576

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 4325,6889

Greatest Common Factor of Numerators i.e. GCF of 4325,6889 is 1 .

LCM of Denominators means LCM of 69,576 as per the given fractions.

LCM of 69,576 is 13248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4325,6889

GCF of Fractions 4325/69,6889/576 is 1/13248

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

Greatest Common Factor of 4325,6889 By Matching Biggest Common Factor Method

Greatest Common Factor of 4325,6889 By Matching Biggest Common Factor Method

Factors of 4325

List of positive integer factors of 4325 that divides 4325 without a remainder.

1,5,25,173,865,4325

Factors of 6889

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

1,83,6889

Greatest Common Factor

We found the factors 4325,6889 . The biggest common factor number is the GCF number.
So the greatest common factor 4325,6889 is 1.

Lets's calculate LCM of 69,576

3 69, 576
23, 192

∴ So the LCM of the given numbers is 3 x 23 x 192 = 13248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13248

Therefore, the GCF of Fractions 4325/69,6889/576 is 1/13248

Least Common Multiple of 69,576 with GCF Formula

Least Common Multiple of 69,576 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 69,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,576) = 3

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

GCF(69,576) x common factors =3 x 1 = 3

LCM(69,576) = ( 69 × 576 ) / 3

LCM(69,576) = 39744 / 3

LCM(69,576) = 13248


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 4325/69, 6889/576

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 4325/69, 6889/576?

Answer: GCF of Numerators as per given numbers 4325/69, 6889/576 is

GCF of Numerators i.e. for 4325,6889 is 1

LCM of denominators i.e. for 69,576 is 13248.

Thus, GCF of Fractions is 1/13248.Finally, GCF of Fractions for 4325/69, 6889/576 is 1/13248.