Greatest Common Factor of 6000/59, 1396/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6000/59, 1396/547

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 6000/59,1396/547

Given fractions are 6000/59,1396/547

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 6000,1396

Greatest Common Factor of Numerators i.e. GCF of 6000,1396 is 4 .

LCM of Denominators means LCM of 59,547 as per the given fractions.

LCM of 59,547 is 32273 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6000,1396

GCF of Fractions 6000/59,1396/547 is 4/32273

2 6000, 1396
2 3000, 698
1500, 349

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6000,1396 By Matching Biggest Common Factor Method

Greatest Common Factor of 6000,1396 By Matching Biggest Common Factor Method

Factors of 6000

List of positive integer factors of 6000 that divides 6000 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000

Factors of 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1,2,4,349,698,1396

Greatest Common Factor

We found the factors 6000,1396 . The biggest common factor number is the GCF number.
So the greatest common factor 6000,1396 is 4.

Lets's calculate LCM of 59,547

Given numbers has no common factors except 1. So, there LCM is their product i.e 32273

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/32273

Therefore, the GCF of Fractions 6000/59,1396/547 is 4/32273

Least Common Multiple of 59,547 with GCF Formula

Least Common Multiple of 59,547 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 59,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,547) = 1

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

GCF(59,547) x common factors =1 x 1 = 1

LCM(59,547) = ( 59 × 547 ) / 1

LCM(59,547) = 32273 / 1

LCM(59,547) = 32273


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 6000/59, 1396/547

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 6000/59, 1396/547?

Answer: GCF of Numerators as per given numbers 6000/59, 1396/547 is

GCF of Numerators i.e. for 6000,1396 is 4

LCM of denominators i.e. for 59,547 is 32273.

Thus, GCF of Fractions is 4/32273.Finally, GCF of Fractions for 6000/59, 1396/547 is 4/32273.