Greatest Common Factor of 9870/500, 8529/7043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9870/500, 8529/7043

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 9870/500,8529/7043

Given fractions are 9870/500,8529/7043

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 9870,8529

Greatest Common Factor of Numerators i.e. GCF of 9870,8529 is 3 .

LCM of Denominators means LCM of 500,7043 as per the given fractions.

LCM of 500,7043 is 3521500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9870,8529

GCF of Fractions 9870/500,8529/7043 is 3/3521500

3 9870, 8529
3290, 2843

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9870,8529 By Matching Biggest Common Factor Method

Greatest Common Factor of 9870,8529 By Matching Biggest Common Factor Method

Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870

Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1,3,2843,8529

Greatest Common Factor

We found the factors 9870,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 9870,8529 is 3.

Lets's calculate LCM of 500,7043

Given numbers has no common factors except 1. So, there LCM is their product i.e 3521500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3521500

Therefore, the GCF of Fractions 9870/500,8529/7043 is 3/3521500

Least Common Multiple of 500,7043 with GCF Formula

Least Common Multiple of 500,7043 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 500,7043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,7043) = 1

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

GCF(500,7043) x common factors =1 x 1 = 1

LCM(500,7043) = ( 500 × 7043 ) / 1

LCM(500,7043) = 3521500 / 1

LCM(500,7043) = 3521500


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 9870/500, 8529/7043

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 9870/500, 8529/7043?

Answer: GCF of Numerators as per given numbers 9870/500, 8529/7043 is

GCF of Numerators i.e. for 9870,8529 is 3

LCM of denominators i.e. for 500,7043 is 3521500.

Thus, GCF of Fractions is 3/3521500.Finally, GCF of Fractions for 9870/500, 8529/7043 is 3/3521500.