GCD of 39, 21, 84, 90 Calculator

Given Input numbers are 39, 21, 84, 90

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

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

GCD of numbers is the greatest common divisor

So, the GCD (39, 21, 84, 90) = 3.

Given numbers are 39, 21, 84, 90

The list of prime factors of all numbers are

Prime factors of 39 are 3 x 13

Prime factors of 21 are 3 x 7

Prime factors of 84 are 2 x 2 x 3 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 39, 21, 84, 90 is 3.

Given numbers are 39, 21, 84, 90

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

Apply this formula for all numbers.

Step1:

LCM(39, 21) = 273

GCD(39, 21) = ( 39 x 21 ) / 273

= 39 / 21

= 39

Step2:

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

= 3 / 84

= 3

Step3:

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

= 3 / 90

= 3

So, Greatest Common Divisor of 39, 21, 84, 90 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 98, 21, 50
• GCD of 40, 37, 70, 39
• GCD of 12, 94, 26, 51
• GCD of 24, 19, 56, 12
• GCD of 54, 97, 64, 41

Given numbers are 39, 21, 84, 90
The greatest common divisor of numbers 39, 21, 84, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 39, 21, 84, 90 is 3.

1. What is the GCD of 39, 21, 84, 90?

GCD of given numbers 39, 21, 84, 90 is 3

2. How to calculate the greatest common divisor of 39, 21, 84, 90?

We can find the highest common divisor of 39, 21, 84, 90 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 39, 21, 84, 90 i.e 3.

3. How can I use the GCD of 39, 21, 84, 90Calculator?

Out the numbers 39, 21, 84, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.