GCD of 40, 53, 37, 67 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 40, 53, 37, 67 i.e. 1 largest integer that divides all the numbers equally.

GCD of 40, 53, 37, 67 is 1

GCD(40, 53, 37, 67) = 1

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

GCD of

GCD of numbers 40, 53, 37, 67 is 1

GCD(40, 53, 37, 67) = 1

GCD of 40,53,37,67 Calculator

GCDof 40,53,37,67 is 1

Given Input numbers are 40, 53, 37, 67

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 37

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

1, 37

Divisors of 67

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

1, 67

Greatest Common Divisior

We found the divisors of 40, 53, 37, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 53, 37, 67 is 1.

Therefore, GCD of numbers 40, 53, 37, 67 is 1

Finding GCD of 40, 53, 37, 67 using Prime Factorization

Given Input Data is 40, 53, 37, 67

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 53 is 53

Prime Factorization of 37 is 37

Prime Factorization of 67 is 67

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

Finding GCD of 40, 53, 37, 67 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(40, 53) = 2120

GCD(40, 53) = ( 40 x 53 ) / 2120

GCD(40, 53) = 2120 / 2120

GCD(40, 53) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1


Step3:

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

GCD of 40, 53, 37, 67 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 40, 53, 37, 67

1. What is the GCD of 40, 53, 37, 67?

GCD of 40, 53, 37, 67 is 1


2. Where do I get the detailed procedure to find GCD of 40, 53, 37, 67?

You can find a detailed procedure to find GCD of 40, 53, 37, 67 on our page.


3. How to find GCD of 40, 53, 37, 67 on a calculator?

You can find the GCD of 40, 53, 37, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.