Greatest Common Factor of 7620/478, 2028/4473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7620/478, 2028/4473

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 7620/478,2028/4473

Given fractions are 7620/478,2028/4473

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 7620,2028

Greatest Common Factor of Numerators i.e. GCF of 7620,2028 is 12 .

LCM of Denominators means LCM of 478,4473 as per the given fractions.

LCM of 478,4473 is 2138094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7620,2028

GCF of Fractions 7620/478,2028/4473 is 12/2138094

2 7620, 2028
2 3810, 1014
3 1905, 507
635, 169

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

Greatest Common Factor of 7620,2028 By Matching Biggest Common Factor Method

Greatest Common Factor of 7620,2028 By Matching Biggest Common Factor Method

Factors of 7620

List of positive integer factors of 7620 that divides 7620 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028

Greatest Common Factor

We found the factors 7620,2028 . The biggest common factor number is the GCF number.
So the greatest common factor 7620,2028 is 12.

Lets's calculate LCM of 478,4473

Given numbers has no common factors except 1. So, there LCM is their product i.e 2138094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2138094

Therefore, the GCF of Fractions 7620/478,2028/4473 is 12/2138094

Least Common Multiple of 478,4473 with GCF Formula

Least Common Multiple of 478,4473 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 478,4473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,4473) = 1

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

GCF(478,4473) x common factors =1 x 1 = 1

LCM(478,4473) = ( 478 × 4473 ) / 1

LCM(478,4473) = 2138094 / 1

LCM(478,4473) = 2138094


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 7620/478, 2028/4473

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 7620/478, 2028/4473?

Answer: GCF of Numerators as per given numbers 7620/478, 2028/4473 is

GCF of Numerators i.e. for 7620,2028 is 12

LCM of denominators i.e. for 478,4473 is 2138094.

Thus, GCF of Fractions is 12/2138094.Finally, GCF of Fractions for 7620/478, 2028/4473 is 12/2138094.