Greatest Common Factor of 3236/360, 3331/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3236/360, 3331/345

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 3236/360,3331/345

Given fractions are 3236/360,3331/345

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 3236,3331

Greatest Common Factor of Numerators i.e. GCF of 3236,3331 is 1 .

LCM of Denominators means LCM of 360,345 as per the given fractions.

LCM of 360,345 is 8280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3236,3331

GCF of Fractions 3236/360,3331/345 is 1/8280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3236,3331 By Matching Biggest Common Factor Method

Greatest Common Factor of 3236,3331 By Matching Biggest Common Factor Method

Factors of 3236

List of positive integer factors of 3236 that divides 3236 without a remainder.

1,2,4,809,1618,3236

Factors of 3331

List of positive integer factors of 3331 that divides 3331 without a remainder.

1,3331

Greatest Common Factor

We found the factors 3236,3331 . The biggest common factor number is the GCF number.
So the greatest common factor 3236,3331 is 1.

Lets's calculate LCM of 360,345

3 360, 345
5 120, 115
24, 23

∴ So the LCM of the given numbers is 3 x 5 x 24 x 23 = 8280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8280

Therefore, the GCF of Fractions 3236/360,3331/345 is 1/8280

Least Common Multiple of 360,345 with GCF Formula

Least Common Multiple of 360,345 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 360,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,345) = 15

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

GCF(360,345) x common factors =15 x 1 = 15

LCM(360,345) = ( 360 × 345 ) / 15

LCM(360,345) = 124200 / 15

LCM(360,345) = 8280


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 3236/360, 3331/345

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 3236/360, 3331/345?

Answer: GCF of Numerators as per given numbers 3236/360, 3331/345 is

GCF of Numerators i.e. for 3236,3331 is 1

LCM of denominators i.e. for 360,345 is 8280.

Thus, GCF of Fractions is 1/8280.Finally, GCF of Fractions for 3236/360, 3331/345 is 1/8280.