GCD of 67, 45, 47 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 67, 45, 47 i.e. 1 largest integer that divides all the numbers equally.

GCD of 67, 45, 47 is 1

GCD(67, 45, 47) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 67, 45, 47 is 1

GCD(67, 45, 47) = 1

GCD of 67,45,47 Calculator

GCDof 67,45,47 is 1

Given Input numbers are 67, 45, 47

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Greatest Common Divisior

We found the divisors of 67, 45, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 45, 47 is 1.

Therefore, GCD of numbers 67, 45, 47 is 1

Finding GCD of 67, 45, 47 using Prime Factorization

Given Input Data is 67, 45, 47

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 67 is 67

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 47 is 47

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 67, 45, 47 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(67, 45) = 3015

GCD(67, 45) = ( 67 x 45 ) / 3015

GCD(67, 45) = 3015 / 3015

GCD(67, 45) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

GCD of 67, 45, 47 is 1

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FAQs on GCD of numbers 67, 45, 47

1. What is the GCD of 67, 45, 47?

GCD of 67, 45, 47 is 1


2. Where do I get the detailed procedure to find GCD of 67, 45, 47?

You can find a detailed procedure to find GCD of 67, 45, 47 on our page.


3. How to find GCD of 67, 45, 47 on a calculator?

You can find the GCD of 67, 45, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.