GCD of 22, 86, 77, 37 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 22, 86, 77, 37 i.e. 1 largest integer that divides all the numbers equally.

GCD of 22, 86, 77, 37 is 1

GCD(22, 86, 77, 37) = 1

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

GCD of

GCD of numbers 22, 86, 77, 37 is 1

GCD(22, 86, 77, 37) = 1

GCD of 22,86,77,37 Calculator

GCDof 22,86,77,37 is 1

Given Input numbers are 22, 86, 77, 37

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 37

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

1, 37

Greatest Common Divisior

We found the divisors of 22, 86, 77, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 86, 77, 37 is 1.

Therefore, GCD of numbers 22, 86, 77, 37 is 1

Finding GCD of 22, 86, 77, 37 using Prime Factorization

Given Input Data is 22, 86, 77, 37

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 86 is 2 x 43

Prime Factorization of 77 is 7 x 11

Prime Factorization of 37 is 37

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

Finding GCD of 22, 86, 77, 37 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(22, 86) = 946

GCD(22, 86) = ( 22 x 86 ) / 946

GCD(22, 86) = 1892 / 946

GCD(22, 86) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1


Step3:

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

GCD of 22, 86, 77, 37 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 22, 86, 77, 37

1. What is the GCD of 22, 86, 77, 37?

GCD of 22, 86, 77, 37 is 1


2. Where do I get the detailed procedure to find GCD of 22, 86, 77, 37?

You can find a detailed procedure to find GCD of 22, 86, 77, 37 on our page.


3. How to find GCD of 22, 86, 77, 37 on a calculator?

You can find the GCD of 22, 86, 77, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.