Greatest Common Factor of 689/3420, 291/7239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/3420, 291/7239

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 689/3420,291/7239

Given fractions are 689/3420,291/7239

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 689,291

Greatest Common Factor of Numerators i.e. GCF of 689,291 is 1 .

LCM of Denominators means LCM of 3420,7239 as per the given fractions.

LCM of 3420,7239 is 434340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,291

GCF of Fractions 689/3420,291/7239 is 1/434340

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

Greatest Common Factor of 689,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,291 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 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 689,291 . The biggest common factor number is the GCF number.
So the greatest common factor 689,291 is 1.

Lets's calculate LCM of 3420,7239

3 3420, 7239
19 1140, 2413
60, 127

∴ So the LCM of the given numbers is 3 x 19 x 60 x 127 = 434340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434340

Therefore, the GCF of Fractions 689/3420,291/7239 is 1/434340

Least Common Multiple of 3420,7239 with GCF Formula

Least Common Multiple of 3420,7239 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 3420,7239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3420,7239) = 57

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

GCF(3420,7239) x common factors =57 x 1 = 57

LCM(3420,7239) = ( 3420 × 7239 ) / 57

LCM(3420,7239) = 24757380 / 57

LCM(3420,7239) = 434340


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 689/3420, 291/7239

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 689/3420, 291/7239?

Answer: GCF of Numerators as per given numbers 689/3420, 291/7239 is

GCF of Numerators i.e. for 689,291 is 1

LCM of denominators i.e. for 3420,7239 is 434340.

Thus, GCF of Fractions is 1/434340.Finally, GCF of Fractions for 689/3420, 291/7239 is 1/434340.