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GCD of 96, 23, 90, 87 Calculator

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


Online GCD Calculator is useful to find the GCD of 96, 23, 90, 87 quickly. Get the easiest ways to solve the greatest common divisor of 96, 23, 90, 87 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 96, 23, 90, 87 with Factoring?

Given Input numbers are 96, 23, 90, 87

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

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 23 :

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

1, 23

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 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87


GCD of numbers is the greatest common divisor

So, the GCD (96, 23, 90, 87) = 1.

Find GCD of 96, 23, 90, 87 using Prime Factorization

Given numbers are 96, 23, 90, 87

The list of prime factors of all numbers are

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 23 are 23

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

Prime factors of 87 are 3 x 29

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

Steps to Calculate GCD of 96, 23, 90, 87 using LCM Formula

Given numbers are 96, 23, 90, 87

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

Apply this formula for all numbers.

Step1:

LCM(96, 23) = 2208

GCD(96, 23) = ( 96 x 23 ) / 2208

= 96 / 23

= 96


Step2:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1


Step3:

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

= 1 / 87

= 1


So, Greatest Common Divisor of 96, 23, 90, 87 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 96, 23, 90, 87

Given numbers are 96, 23, 90, 87
The greatest common divisor of numbers 96, 23, 90, 87 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 96, 23, 90, 87 is 1.

FAQs on GCD of 96, 23, 90, 87 Calculator

1. What is the GCD of 96, 23, 90, 87?

GCD of given numbers 96, 23, 90, 87 is 1


2. How to calculate the greatest common divisor of 96, 23, 90, 87?

We can find the highest common divisor of 96, 23, 90, 87 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 96, 23, 90, 87 i.e 1.


3. How can I use the GCD of 96, 23, 90, 87Calculator?

Out the numbers 96, 23, 90, 87 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.