Greatest Common Factor of 5840/839, 6429/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5840/839, 6429/598

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 5840/839,6429/598

Given fractions are 5840/839,6429/598

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 5840,6429

Greatest Common Factor of Numerators i.e. GCF of 5840,6429 is 1 .

LCM of Denominators means LCM of 839,598 as per the given fractions.

LCM of 839,598 is 501722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5840,6429

GCF of Fractions 5840/839,6429/598 is 1/501722

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

Greatest Common Factor of 5840,6429 By Matching Biggest Common Factor Method

Greatest Common Factor of 5840,6429 By Matching Biggest Common Factor Method

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Factors of 6429

List of positive integer factors of 6429 that divides 6429 without a remainder.

1,3,2143,6429

Greatest Common Factor

We found the factors 5840,6429 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,6429 is 1.


Lets's calculate LCM of 839,598

Given numbers has no common factors except 1. So, there LCM is their product i.e 501722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501722

Therefore, the GCF of Fractions 5840/839,6429/598 is 1/501722

Least Common Multiple of 839,598 with GCF Formula

Least Common Multiple of 839,598 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 839,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,598) = 1

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

GCF(839,598) x common factors =1 x 1 = 1

LCM(839,598) = ( 839 × 598 ) / 1

LCM(839,598) = 501722 / 1

LCM(839,598) = 501722


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5840/839, 6429/598

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 5840/839, 6429/598?

Answer: GCF of Numerators as per given numbers 5840/839, 6429/598 is

GCF of Numerators i.e. for 5840,6429 is 1

LCM of denominators i.e. for 839,598 is 501722.

Thus, GCF of Fractions is 1/501722.Finally, GCF of Fractions for 5840/839, 6429/598 is 1/501722.