Greatest Common Factor of 689/54, 259/57, 304/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/54, 259/57, 304/665

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 689/54,259/57,304/665

Given fractions are 689/54,259/57,304/665

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 689,259,304

Greatest Common Factor of Numerators i.e. GCF of 689,259,304 is 1 .

LCM of Denominators means LCM of 54,57,665 as per the given fractions.

LCM of 54,57,665 is 35910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,259,304

GCF of Fractions 689/54,259/57,304/665 is 1/35910

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

Greatest Common Factor of 689,259,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,259,304 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 689,259,304 . The biggest common factor number is the GCF number.
So the greatest common factor 689,259,304 is 1.

Lets's calculate LCM of 54,57,665

3 54, 57, 665
19 18, 19, 665
18, 1, 35

∴ So the LCM of the given numbers is 3 x 19 x 18 x 1 x 35 = 35910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35910

Therefore, the GCF of Fractions 689/54,259/57,304/665 is 1/35910

Least Common Multiple of 54,57,665 with GCF Formula

Least Common Multiple of 54,57,665 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 54,57,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,57,665) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(54,57,665) x common factors =1 x 57 = 57

LCM(54,57,665) = ( 54 × 57 × 665 ) / 57

LCM(54,57,665) = 2046870 / 57

LCM(54,57,665) = 35910


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 689/54, 259/57, 304/665

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 689/54, 259/57, 304/665?

Answer: GCF of Numerators as per given numbers 689/54, 259/57, 304/665 is

GCF of Numerators i.e. for 689,259,304 is 1

LCM of denominators i.e. for 54,57,665 is 35910.

Thus, GCF of Fractions is 1/35910.Finally, GCF of Fractions for 689/54, 259/57, 304/665 is 1/35910.