Greatest Common Factor of 3237/444, 1608/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3237/444, 1608/751

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 3237/444,1608/751

Given fractions are 3237/444,1608/751

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 3237,1608

Greatest Common Factor of Numerators i.e. GCF of 3237,1608 is 3 .

LCM of Denominators means LCM of 444,751 as per the given fractions.

LCM of 444,751 is 333444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3237,1608

GCF of Fractions 3237/444,1608/751 is 3/333444

3 3237, 1608
1079, 536

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

Greatest Common Factor of 3237,1608 By Matching Biggest Common Factor Method

Greatest Common Factor of 3237,1608 By Matching Biggest Common Factor Method

Factors of 3237

List of positive integer factors of 3237 that divides 3237 without a remainder.

1,3,13,39,83,249,1079,3237

Factors of 1608

List of positive integer factors of 1608 that divides 1608 without a remainder.

1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608

Greatest Common Factor

We found the factors 3237,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 3237,1608 is 3.

Lets's calculate LCM of 444,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 333444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/333444

Therefore, the GCF of Fractions 3237/444,1608/751 is 3/333444

Least Common Multiple of 444,751 with GCF Formula

Least Common Multiple of 444,751 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 444,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,751) = 1

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

GCF(444,751) x common factors =1 x 1 = 1

LCM(444,751) = ( 444 × 751 ) / 1

LCM(444,751) = 333444 / 1

LCM(444,751) = 333444


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 3237/444, 1608/751

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 3237/444, 1608/751?

Answer: GCF of Numerators as per given numbers 3237/444, 1608/751 is

GCF of Numerators i.e. for 3237,1608 is 3

LCM of denominators i.e. for 444,751 is 333444.

Thus, GCF of Fractions is 3/333444.Finally, GCF of Fractions for 3237/444, 1608/751 is 3/333444.