Greatest Common Factor of 4869/990, 3120/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4869/990, 3120/390

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 4869/990,3120/390

Given fractions are 4869/990,3120/390

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 4869,3120

Greatest Common Factor of Numerators i.e. GCF of 4869,3120 is 3 .

LCM of Denominators means LCM of 990,390 as per the given fractions.

LCM of 990,390 is 12870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4869,3120

GCF of Fractions 4869/990,3120/390 is 3/12870

3 4869, 3120
1623, 1040

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

Greatest Common Factor of 4869,3120 By Matching Biggest Common Factor Method

Greatest Common Factor of 4869,3120 By Matching Biggest Common Factor Method

Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1,3,9,541,1623,4869

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120

Greatest Common Factor

We found the factors 4869,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 4869,3120 is 3.

Lets's calculate LCM of 990,390

2 990, 390
3 495, 195
5 165, 65
33, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 33 x 13 = 12870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12870

Therefore, the GCF of Fractions 4869/990,3120/390 is 3/12870

Least Common Multiple of 990,390 with GCF Formula

Least Common Multiple of 990,390 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 990,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,390) = 30

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

GCF(990,390) x common factors =30 x 1 = 30

LCM(990,390) = ( 990 × 390 ) / 30

LCM(990,390) = 386100 / 30

LCM(990,390) = 12870


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 4869/990, 3120/390

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 4869/990, 3120/390?

Answer: GCF of Numerators as per given numbers 4869/990, 3120/390 is

GCF of Numerators i.e. for 4869,3120 is 3

LCM of denominators i.e. for 990,390 is 12870.

Thus, GCF of Fractions is 3/12870.Finally, GCF of Fractions for 4869/990, 3120/390 is 3/12870.