Greatest Common Factor of 4797/900, 1320/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4797/900, 1320/599

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 4797/900,1320/599

Given fractions are 4797/900,1320/599

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 4797,1320

Greatest Common Factor of Numerators i.e. GCF of 4797,1320 is 3 .

LCM of Denominators means LCM of 900,599 as per the given fractions.

LCM of 900,599 is 539100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4797,1320

GCF of Fractions 4797/900,1320/599 is 3/539100

3 4797, 1320
1599, 440

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4797,1320 By Matching Biggest Common Factor Method

Greatest Common Factor of 4797,1320 By Matching Biggest Common Factor Method

Factors of 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1,3,9,13,39,41,117,123,369,533,1599,4797

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors 4797,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 4797,1320 is 3.

Lets's calculate LCM of 900,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 539100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/539100

Therefore, the GCF of Fractions 4797/900,1320/599 is 3/539100

Least Common Multiple of 900,599 with GCF Formula

Least Common Multiple of 900,599 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 900,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,599) = 1

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

GCF(900,599) x common factors =1 x 1 = 1

LCM(900,599) = ( 900 × 599 ) / 1

LCM(900,599) = 539100 / 1

LCM(900,599) = 539100


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 4797/900, 1320/599

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 4797/900, 1320/599?

Answer: GCF of Numerators as per given numbers 4797/900, 1320/599 is

GCF of Numerators i.e. for 4797,1320 is 3

LCM of denominators i.e. for 900,599 is 539100.

Thus, GCF of Fractions is 3/539100.Finally, GCF of Fractions for 4797/900, 1320/599 is 3/539100.