Greatest Common Factor of 4065/18, 1764/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4065/18, 1764/975

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 4065/18,1764/975

Given fractions are 4065/18,1764/975

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 4065,1764

Greatest Common Factor of Numerators i.e. GCF of 4065,1764 is 3 .

LCM of Denominators means LCM of 18,975 as per the given fractions.

LCM of 18,975 is 5850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4065,1764

GCF of Fractions 4065/18,1764/975 is 3/5850

3 4065, 1764
1355, 588

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

Greatest Common Factor of 4065,1764 By Matching Biggest Common Factor Method

Greatest Common Factor of 4065,1764 By Matching Biggest Common Factor Method

Factors of 4065

List of positive integer factors of 4065 that divides 4065 without a remainder.

1,3,5,15,271,813,1355,4065

Factors of 1764

List of positive integer factors of 1764 that divides 1764 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764

Greatest Common Factor

We found the factors 4065,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 4065,1764 is 3.

Lets's calculate LCM of 18,975

3 18, 975
6, 325

∴ So the LCM of the given numbers is 3 x 6 x 325 = 5850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5850

Therefore, the GCF of Fractions 4065/18,1764/975 is 3/5850

Least Common Multiple of 18,975 with GCF Formula

Least Common Multiple of 18,975 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 18,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,975) = 3

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

GCF(18,975) x common factors =3 x 1 = 3

LCM(18,975) = ( 18 × 975 ) / 3

LCM(18,975) = 17550 / 3

LCM(18,975) = 5850


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 4065/18, 1764/975

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 4065/18, 1764/975?

Answer: GCF of Numerators as per given numbers 4065/18, 1764/975 is

GCF of Numerators i.e. for 4065,1764 is 3

LCM of denominators i.e. for 18,975 is 5850.

Thus, GCF of Fractions is 3/5850.Finally, GCF of Fractions for 4065/18, 1764/975 is 3/5850.