GCD of 37, 2, 67, 34 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 37, 2, 67, 34 i.e. 1 largest integer that divides all the numbers equally.

GCD of 37, 2, 67, 34 is 1

GCD(37, 2, 67, 34) = 1

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

GCD of

GCD of numbers 37, 2, 67, 34 is 1

GCD(37, 2, 67, 34) = 1

GCD of 37,2,67,34 Calculator

GCDof 37,2,67,34 is 1

Given Input numbers are 37, 2, 67, 34

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 2

List of positive integer divisors of 2 that divides 2 without a remainder.

1, 2

Divisors of 67

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

1, 67

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 37, 2, 67, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 2, 67, 34 is 1.

Therefore, GCD of numbers 37, 2, 67, 34 is 1

Finding GCD of 37, 2, 67, 34 using Prime Factorization

Given Input Data is 37, 2, 67, 34

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

Prime Factorization of 37 is 37

Prime Factorization of 2 is 2

Prime Factorization of 67 is 67

Prime Factorization of 34 is 2 x 17

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

Finding GCD of 37, 2, 67, 34 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(37, 2) = 74

GCD(37, 2) = ( 37 x 2 ) / 74

GCD(37, 2) = 74 / 74

GCD(37, 2) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 37, 2, 67, 34 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 37, 2, 67, 34

1. What is the GCD of 37, 2, 67, 34?

GCD of 37, 2, 67, 34 is 1


2. Where do I get the detailed procedure to find GCD of 37, 2, 67, 34?

You can find a detailed procedure to find GCD of 37, 2, 67, 34 on our page.


3. How to find GCD of 37, 2, 67, 34 on a calculator?

You can find the GCD of 37, 2, 67, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.