Greatest Common Factor of 3441/67, 7455/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3441/67, 7455/856

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 3441/67,7455/856

Given fractions are 3441/67,7455/856

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 3441,7455

Greatest Common Factor of Numerators i.e. GCF of 3441,7455 is 3 .

LCM of Denominators means LCM of 67,856 as per the given fractions.

LCM of 67,856 is 57352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3441,7455

GCF of Fractions 3441/67,7455/856 is 3/57352

3 3441, 7455
1147, 2485

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

Greatest Common Factor of 3441,7455 By Matching Biggest Common Factor Method

Greatest Common Factor of 3441,7455 By Matching Biggest Common Factor Method

Factors of 3441

List of positive integer factors of 3441 that divides 3441 without a remainder.

1,3,31,37,93,111,1147,3441

Factors of 7455

List of positive integer factors of 7455 that divides 7455 without a remainder.

1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455

Greatest Common Factor

We found the factors 3441,7455 . The biggest common factor number is the GCF number.
So the greatest common factor 3441,7455 is 3.

Lets's calculate LCM of 67,856

Given numbers has no common factors except 1. So, there LCM is their product i.e 57352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57352

Therefore, the GCF of Fractions 3441/67,7455/856 is 3/57352

Least Common Multiple of 67,856 with GCF Formula

Least Common Multiple of 67,856 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 67,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,856) = 1

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

GCF(67,856) x common factors =1 x 1 = 1

LCM(67,856) = ( 67 × 856 ) / 1

LCM(67,856) = 57352 / 1

LCM(67,856) = 57352


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 3441/67, 7455/856

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 3441/67, 7455/856?

Answer: GCF of Numerators as per given numbers 3441/67, 7455/856 is

GCF of Numerators i.e. for 3441,7455 is 3

LCM of denominators i.e. for 67,856 is 57352.

Thus, GCF of Fractions is 3/57352.Finally, GCF of Fractions for 3441/67, 7455/856 is 3/57352.