Greatest Common Factor of 4260/831, 9012/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4260/831, 9012/806

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 4260/831,9012/806

Given fractions are 4260/831,9012/806

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 4260,9012

Greatest Common Factor of Numerators i.e. GCF of 4260,9012 is 12 .

LCM of Denominators means LCM of 831,806 as per the given fractions.

LCM of 831,806 is 669786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4260,9012

GCF of Fractions 4260/831,9012/806 is 12/669786

2 4260, 9012
2 2130, 4506
3 1065, 2253
355, 751

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4260,9012 By Matching Biggest Common Factor Method

Greatest Common Factor of 4260,9012 By Matching Biggest Common Factor Method

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260

Factors of 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1,2,3,4,6,12,751,1502,2253,3004,4506,9012

Greatest Common Factor

We found the factors 4260,9012 . The biggest common factor number is the GCF number.
So the greatest common factor 4260,9012 is 12.

Lets's calculate LCM of 831,806

Given numbers has no common factors except 1. So, there LCM is their product i.e 669786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/669786

Therefore, the GCF of Fractions 4260/831,9012/806 is 12/669786

Least Common Multiple of 831,806 with GCF Formula

Least Common Multiple of 831,806 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 831,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,806) = 1

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

GCF(831,806) x common factors =1 x 1 = 1

LCM(831,806) = ( 831 × 806 ) / 1

LCM(831,806) = 669786 / 1

LCM(831,806) = 669786


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 4260/831, 9012/806

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 4260/831, 9012/806?

Answer: GCF of Numerators as per given numbers 4260/831, 9012/806 is

GCF of Numerators i.e. for 4260,9012 is 12

LCM of denominators i.e. for 831,806 is 669786.

Thus, GCF of Fractions is 12/669786.Finally, GCF of Fractions for 4260/831, 9012/806 is 12/669786.