Greatest Common Factor of 4308/36, 1605/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4308/36, 1605/899

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 4308/36,1605/899

Given fractions are 4308/36,1605/899

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 4308,1605

Greatest Common Factor of Numerators i.e. GCF of 4308,1605 is 3 .

LCM of Denominators means LCM of 36,899 as per the given fractions.

LCM of 36,899 is 32364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4308,1605

GCF of Fractions 4308/36,1605/899 is 3/32364

3 4308, 1605
1436, 535

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

Greatest Common Factor of 4308,1605 By Matching Biggest Common Factor Method

Greatest Common Factor of 4308,1605 By Matching Biggest Common Factor Method

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1,2,3,4,6,12,359,718,1077,1436,2154,4308

Factors of 1605

List of positive integer factors of 1605 that divides 1605 without a remainder.

1,3,5,15,107,321,535,1605

Greatest Common Factor

We found the factors 4308,1605 . The biggest common factor number is the GCF number.
So the greatest common factor 4308,1605 is 3.

Lets's calculate LCM of 36,899

Given numbers has no common factors except 1. So, there LCM is their product i.e 32364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32364

Therefore, the GCF of Fractions 4308/36,1605/899 is 3/32364

Least Common Multiple of 36,899 with GCF Formula

Least Common Multiple of 36,899 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 36,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,899) = 1

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

GCF(36,899) x common factors =1 x 1 = 1

LCM(36,899) = ( 36 × 899 ) / 1

LCM(36,899) = 32364 / 1

LCM(36,899) = 32364


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 4308/36, 1605/899

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 4308/36, 1605/899?

Answer: GCF of Numerators as per given numbers 4308/36, 1605/899 is

GCF of Numerators i.e. for 4308,1605 is 3

LCM of denominators i.e. for 36,899 is 32364.

Thus, GCF of Fractions is 3/32364.Finally, GCF of Fractions for 4308/36, 1605/899 is 3/32364.