Greatest Common Factor of 4470/827, 8769/9032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4470/827, 8769/9032

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 4470/827,8769/9032

Given fractions are 4470/827,8769/9032

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 4470,8769

Greatest Common Factor of Numerators i.e. GCF of 4470,8769 is 3 .

LCM of Denominators means LCM of 827,9032 as per the given fractions.

LCM of 827,9032 is 7469464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4470,8769

GCF of Fractions 4470/827,8769/9032 is 3/7469464

3 4470, 8769
1490, 2923

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

Greatest Common Factor of 4470,8769 By Matching Biggest Common Factor Method

Greatest Common Factor of 4470,8769 By Matching Biggest Common Factor Method

Factors of 4470

List of positive integer factors of 4470 that divides 4470 without a remainder.

1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470

Factors of 8769

List of positive integer factors of 8769 that divides 8769 without a remainder.

1,3,37,79,111,237,2923,8769

Greatest Common Factor

We found the factors 4470,8769 . The biggest common factor number is the GCF number.
So the greatest common factor 4470,8769 is 3.

Lets's calculate LCM of 827,9032

Given numbers has no common factors except 1. So, there LCM is their product i.e 7469464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7469464

Therefore, the GCF of Fractions 4470/827,8769/9032 is 3/7469464

Least Common Multiple of 827,9032 with GCF Formula

Least Common Multiple of 827,9032 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 827,9032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,9032) = 1

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

GCF(827,9032) x common factors =1 x 1 = 1

LCM(827,9032) = ( 827 × 9032 ) / 1

LCM(827,9032) = 7469464 / 1

LCM(827,9032) = 7469464


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 4470/827, 8769/9032

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 4470/827, 8769/9032?

Answer: GCF of Numerators as per given numbers 4470/827, 8769/9032 is

GCF of Numerators i.e. for 4470,8769 is 3

LCM of denominators i.e. for 827,9032 is 7469464.

Thus, GCF of Fractions is 3/7469464.Finally, GCF of Fractions for 4470/827, 8769/9032 is 3/7469464.