Greatest Common Factor of 6180/161, 9984/4862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6180/161, 9984/4862

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 6180/161,9984/4862

Given fractions are 6180/161,9984/4862

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 6180,9984

Greatest Common Factor of Numerators i.e. GCF of 6180,9984 is 12 .

LCM of Denominators means LCM of 161,4862 as per the given fractions.

LCM of 161,4862 is 782782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6180,9984

GCF of Fractions 6180/161,9984/4862 is 12/782782

2 6180, 9984
2 3090, 4992
3 1545, 2496
515, 832

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6180,9984 By Matching Biggest Common Factor Method

Greatest Common Factor of 6180,9984 By Matching Biggest Common Factor Method

Factors of 6180

List of positive integer factors of 6180 that divides 6180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180

Factors of 9984

List of positive integer factors of 9984 that divides 9984 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984

Greatest Common Factor

We found the factors 6180,9984 . The biggest common factor number is the GCF number.
So the greatest common factor 6180,9984 is 12.

Lets's calculate LCM of 161,4862

Given numbers has no common factors except 1. So, there LCM is their product i.e 782782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/782782

Therefore, the GCF of Fractions 6180/161,9984/4862 is 12/782782

Least Common Multiple of 161,4862 with GCF Formula

Least Common Multiple of 161,4862 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 161,4862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,4862) = 1

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

GCF(161,4862) x common factors =1 x 1 = 1

LCM(161,4862) = ( 161 × 4862 ) / 1

LCM(161,4862) = 782782 / 1

LCM(161,4862) = 782782


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 6180/161, 9984/4862

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 6180/161, 9984/4862?

Answer: GCF of Numerators as per given numbers 6180/161, 9984/4862 is

GCF of Numerators i.e. for 6180,9984 is 12

LCM of denominators i.e. for 161,4862 is 782782.

Thus, GCF of Fractions is 12/782782.Finally, GCF of Fractions for 6180/161, 9984/4862 is 12/782782.