Greatest Common Factor of 4620/19, 2355/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4620/19, 2355/542

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 4620/19,2355/542

Given fractions are 4620/19,2355/542

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 4620,2355

Greatest Common Factor of Numerators i.e. GCF of 4620,2355 is 15 .

LCM of Denominators means LCM of 19,542 as per the given fractions.

LCM of 19,542 is 10298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4620,2355

GCF of Fractions 4620/19,2355/542 is 15/10298

3 4620, 2355
5 1540, 785
308, 157

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 4620,2355 By Matching Biggest Common Factor Method

Greatest Common Factor of 4620,2355 By Matching Biggest Common Factor Method

Factors of 4620

List of positive integer factors of 4620 that divides 4620 without a remainder.

1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620

Factors of 2355

List of positive integer factors of 2355 that divides 2355 without a remainder.

1,3,5,15,157,471,785,2355

Greatest Common Factor

We found the factors 4620,2355 . The biggest common factor number is the GCF number.
So the greatest common factor 4620,2355 is 15.

Lets's calculate LCM of 19,542

Given numbers has no common factors except 1. So, there LCM is their product i.e 10298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/10298

Therefore, the GCF of Fractions 4620/19,2355/542 is 15/10298

Least Common Multiple of 19,542 with GCF Formula

Least Common Multiple of 19,542 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 19,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,542) = 1

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

GCF(19,542) x common factors =1 x 1 = 1

LCM(19,542) = ( 19 × 542 ) / 1

LCM(19,542) = 10298 / 1

LCM(19,542) = 10298


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 4620/19, 2355/542

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 4620/19, 2355/542?

Answer: GCF of Numerators as per given numbers 4620/19, 2355/542 is

GCF of Numerators i.e. for 4620,2355 is 15

LCM of denominators i.e. for 19,542 is 10298.

Thus, GCF of Fractions is 15/10298.Finally, GCF of Fractions for 4620/19, 2355/542 is 15/10298.