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GCD of 90, 23, 59, 38 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 90, 23, 59, 38 quickly. Get the easiest ways to solve the greatest common divisor of 90, 23, 59, 38 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 90, 23, 59, 38 with Factoring?

Given Input numbers are 90, 23, 59, 38

In the factoring method, we have to find the divisors of all numbers

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 23 :

The positive integer divisors of 23 that completely divides 23 are.

1, 23

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38


GCD of numbers is the greatest common divisor

So, the GCD (90, 23, 59, 38) = 1.

Find GCD of 90, 23, 59, 38 using Prime Factorization

Given numbers are 90, 23, 59, 38

The list of prime factors of all numbers are

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 23 are 23

Prime factors of 59 are 59

Prime factors of 38 are 2 x 19

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

Steps to Calculate GCD of 90, 23, 59, 38 using LCM Formula

Given numbers are 90, 23, 59, 38

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(90, 23) = 2070

GCD(90, 23) = ( 90 x 23 ) / 2070

= 90 / 23

= 90


Step2:

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

= 1 / 59

= 1


Step3:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1


So, Greatest Common Divisor of 90, 23, 59, 38 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 90, 23, 59, 38

Given numbers are 90, 23, 59, 38
The greatest common divisor of numbers 90, 23, 59, 38 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 90, 23, 59, 38 is 1.

FAQs on GCD of 90, 23, 59, 38 Calculator

1. What is the GCD of 90, 23, 59, 38?

GCD of given numbers 90, 23, 59, 38 is 1


2. How to calculate the greatest common divisor of 90, 23, 59, 38?

We can find the highest common divisor of 90, 23, 59, 38 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 90, 23, 59, 38 i.e 1.


3. How can I use the GCD of 90, 23, 59, 38Calculator?

Out the numbers 90, 23, 59, 38 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.