Greatest Common Factor of 4236/332, 9150/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4236/332, 9150/683

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 4236/332,9150/683

Given fractions are 4236/332,9150/683

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 4236,9150

Greatest Common Factor of Numerators i.e. GCF of 4236,9150 is 6 .

LCM of Denominators means LCM of 332,683 as per the given fractions.

LCM of 332,683 is 226756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4236,9150

GCF of Fractions 4236/332,9150/683 is 6/226756

2 4236, 9150
3 2118, 4575
706, 1525

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4236,9150 By Matching Biggest Common Factor Method

Greatest Common Factor of 4236,9150 By Matching Biggest Common Factor Method

Factors of 4236

List of positive integer factors of 4236 that divides 4236 without a remainder.

1,2,3,4,6,12,353,706,1059,1412,2118,4236

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Greatest Common Factor

We found the factors 4236,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 4236,9150 is 6.

Lets's calculate LCM of 332,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 226756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/226756

Therefore, the GCF of Fractions 4236/332,9150/683 is 6/226756

Least Common Multiple of 332,683 with GCF Formula

Least Common Multiple of 332,683 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 332,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,683) = 1

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

GCF(332,683) x common factors =1 x 1 = 1

LCM(332,683) = ( 332 × 683 ) / 1

LCM(332,683) = 226756 / 1

LCM(332,683) = 226756


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 4236/332, 9150/683

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 4236/332, 9150/683?

Answer: GCF of Numerators as per given numbers 4236/332, 9150/683 is

GCF of Numerators i.e. for 4236,9150 is 6

LCM of denominators i.e. for 332,683 is 226756.

Thus, GCF of Fractions is 6/226756.Finally, GCF of Fractions for 4236/332, 9150/683 is 6/226756.