Greatest Common Factor of 820/48, 5010/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/48, 5010/500

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 820/48,5010/500

Given fractions are 820/48,5010/500

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 820,5010

Greatest Common Factor of Numerators i.e. GCF of 820,5010 is 10 .

LCM of Denominators means LCM of 48,500 as per the given fractions.

LCM of 48,500 is 6000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,5010

GCF of Fractions 820/48,5010/500 is 10/6000

2 820, 5010
5 410, 2505
82, 501

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

Greatest Common Factor of 820,5010 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,5010 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Greatest Common Factor

We found the factors 820,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 820,5010 is 10.

Lets's calculate LCM of 48,500

2 48, 500
2 24, 250
12, 125

∴ So the LCM of the given numbers is 2 x 2 x 12 x 125 = 6000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6000

Therefore, the GCF of Fractions 820/48,5010/500 is 10/6000

Least Common Multiple of 48,500 with GCF Formula

Least Common Multiple of 48,500 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 48,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,500) = 4

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

GCF(48,500) x common factors =4 x 1 = 4

LCM(48,500) = ( 48 × 500 ) / 4

LCM(48,500) = 24000 / 4

LCM(48,500) = 6000


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 820/48, 5010/500

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 820/48, 5010/500?

Answer: GCF of Numerators as per given numbers 820/48, 5010/500 is

GCF of Numerators i.e. for 820,5010 is 10

LCM of denominators i.e. for 48,500 is 6000.

Thus, GCF of Fractions is 10/6000.Finally, GCF of Fractions for 820/48, 5010/500 is 10/6000.