LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 89, 90, 38, 52 Calculator

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


Online GCD Calculator is useful to find the GCD of 89, 90, 38, 52 quickly. Get the easiest ways to solve the greatest common divisor of 89, 90, 38, 52 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 89, 90, 38, 52 with Factoring?

Given Input numbers are 89, 90, 38, 52

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

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89

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 38 :

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

1, 2, 19, 38

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52


GCD of numbers is the greatest common divisor

So, the GCD (89, 90, 38, 52) = 1.

Find GCD of 89, 90, 38, 52 using Prime Factorization

Given numbers are 89, 90, 38, 52

The list of prime factors of all numbers are

Prime factors of 89 are 89

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

Prime factors of 38 are 2 x 19

Prime factors of 52 are 2 x 2 x 13

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

Steps to Calculate GCD of 89, 90, 38, 52 using LCM Formula

Given numbers are 89, 90, 38, 52

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

Apply this formula for all numbers.

Step1:

LCM(89, 90) = 8010

GCD(89, 90) = ( 89 x 90 ) / 8010

= 89 / 90

= 89


Step2:

LCM(1, 38) = 38

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

= 1 / 38

= 1


Step3:

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

= 1 / 52

= 1


So, Greatest Common Divisor of 89, 90, 38, 52 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 89, 90, 38, 52

Given numbers are 89, 90, 38, 52
The greatest common divisor of numbers 89, 90, 38, 52 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 89, 90, 38, 52 is 1.

FAQs on GCD of 89, 90, 38, 52 Calculator

1. What is the GCD of 89, 90, 38, 52?

GCD of given numbers 89, 90, 38, 52 is 1


2. How to calculate the greatest common divisor of 89, 90, 38, 52?

We can find the highest common divisor of 89, 90, 38, 52 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 89, 90, 38, 52 i.e 1.


3. How can I use the GCD of 89, 90, 38, 52Calculator?

Out the numbers 89, 90, 38, 52 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.