Greatest Common Factor of 345/32, 321/41, 240/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/32, 321/41, 240/67

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 345/32,321/41,240/67

Given fractions are 345/32,321/41,240/67

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 345,321,240

Greatest Common Factor of Numerators i.e. GCF of 345,321,240 is 3 .

LCM of Denominators means LCM of 32,41,67 as per the given fractions.

LCM of 32,41,67 is 87904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,321,240

GCF of Fractions 345/32,321/41,240/67 is 3/87904

3 345, 321, 240
115, 107, 80

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

Greatest Common Factor of 345,321,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,321,240 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 345,321,240 . The biggest common factor number is the GCF number.
So the greatest common factor 345,321,240 is 3.

Lets's calculate LCM of 32,41,67

Given numbers has no common factors except 1. So, there LCM is their product i.e 87904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87904

Therefore, the GCF of Fractions 345/32,321/41,240/67 is 3/87904

Least Common Multiple of 32,41,67 with GCF Formula

Least Common Multiple of 32,41,67 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 32,41,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,41,67) = 1

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

GCF(32,41,67) x common factors =1 x 1 = 1

LCM(32,41,67) = ( 32 × 41 × 67 ) / 1

LCM(32,41,67) = 87904 / 1

LCM(32,41,67) = 87904


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 345/32, 321/41, 240/67

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 345/32, 321/41, 240/67?

Answer: GCF of Numerators as per given numbers 345/32, 321/41, 240/67 is

GCF of Numerators i.e. for 345,321,240 is 3

LCM of denominators i.e. for 32,41,67 is 87904.

Thus, GCF of Fractions is 3/87904.Finally, GCF of Fractions for 345/32, 321/41, 240/67 is 3/87904.