GCD of 37, 899, 737, 142 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, 899, 737, 142 i.e. 1 largest integer that divides all the numbers equally.

GCD of 37, 899, 737, 142 is 1

GCD(37, 899, 737, 142) = 1

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

GCD of

GCD of numbers 37, 899, 737, 142 is 1

GCD(37, 899, 737, 142) = 1

GCD of 37,899,737,142 Calculator

GCDof 37,899,737,142 is 1

Given Input numbers are 37, 899, 737, 142

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 37, 899, 737, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 899, 737, 142 is 1.

Therefore, GCD of numbers 37, 899, 737, 142 is 1

Finding GCD of 37, 899, 737, 142 using Prime Factorization

Given Input Data is 37, 899, 737, 142

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

Prime Factorization of 37 is 37

Prime Factorization of 899 is 29 x 31

Prime Factorization of 737 is 11 x 67

Prime Factorization of 142 is 2 x 71

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

Finding GCD of 37, 899, 737, 142 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, 899) = 33263

GCD(37, 899) = ( 37 x 899 ) / 33263

GCD(37, 899) = 33263 / 33263

GCD(37, 899) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 37, 899, 737, 142 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 37, 899, 737, 142

1. What is the GCD of 37, 899, 737, 142?

GCD of 37, 899, 737, 142 is 1


2. Where do I get the detailed procedure to find GCD of 37, 899, 737, 142?

You can find a detailed procedure to find GCD of 37, 899, 737, 142 on our page.


3. How to find GCD of 37, 899, 737, 142 on a calculator?

You can find the GCD of 37, 899, 737, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.