Greatest Common Factor of 4830/470, 5230/3511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4830/470, 5230/3511

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 4830/470,5230/3511

Given fractions are 4830/470,5230/3511

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 4830,5230

Greatest Common Factor of Numerators i.e. GCF of 4830,5230 is 10 .

LCM of Denominators means LCM of 470,3511 as per the given fractions.

LCM of 470,3511 is 1650170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4830,5230

GCF of Fractions 4830/470,5230/3511 is 10/1650170

2 4830, 5230
5 2415, 2615
483, 523

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4830,5230 By Matching Biggest Common Factor Method

Greatest Common Factor of 4830,5230 By Matching Biggest Common Factor Method

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1,2,3,5,6,7,10,14,15,21,23,30,35,42,46,69,70,105,115,138,161,210,230,322,345,483,690,805,966,1610,2415,4830

Factors of 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1,2,5,10,523,1046,2615,5230

Greatest Common Factor

We found the factors 4830,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 4830,5230 is 10.

Lets's calculate LCM of 470,3511

Given numbers has no common factors except 1. So, there LCM is their product i.e 1650170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1650170

Therefore, the GCF of Fractions 4830/470,5230/3511 is 10/1650170

Least Common Multiple of 470,3511 with GCF Formula

Least Common Multiple of 470,3511 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 470,3511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,3511) = 1

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

GCF(470,3511) x common factors =1 x 1 = 1

LCM(470,3511) = ( 470 × 3511 ) / 1

LCM(470,3511) = 1650170 / 1

LCM(470,3511) = 1650170


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 4830/470, 5230/3511

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 4830/470, 5230/3511?

Answer: GCF of Numerators as per given numbers 4830/470, 5230/3511 is

GCF of Numerators i.e. for 4830,5230 is 10

LCM of denominators i.e. for 470,3511 is 1650170.

Thus, GCF of Fractions is 10/1650170.Finally, GCF of Fractions for 4830/470, 5230/3511 is 10/1650170.