GCD of 30, 84, 57, 90 Calculator

Given Input numbers are 30, 84, 57, 90

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

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

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 57 :

The positive integer divisors of 57 that completely divides 57 are.

1, 3, 19, 57

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 (30, 84, 57, 90) = 3.

Given numbers are 30, 84, 57, 90

The list of prime factors of all numbers are

Prime factors of 30 are 2 x 3 x 5

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

Prime factors of 57 are 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 30, 84, 57, 90 is 3.

Given numbers are 30, 84, 57, 90

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

Apply this formula for all numbers.

Step1:

LCM(30, 84) = 420

GCD(30, 84) = ( 30 x 84 ) / 420

= 30 / 84

= 30

Step2:

LCM(6, 57) = 114

GCD(6, 57) = ( 6 x 57 ) / 114

= 6 / 57

= 6

Step3:

LCM(3, 90) = 90

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

= 3 / 90

= 3

So, Greatest Common Divisor of 30, 84, 57, 90 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 14, 75, 63
• GCD of 28, 63, 57, 27
• GCD of 92, 61, 89, 97
• GCD of 99, 86, 42, 41
• GCD of 48, 15, 79, 78

Given numbers are 30, 84, 57, 90
The greatest common divisor of numbers 30, 84, 57, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 30, 84, 57, 90 is 3.

1. What is the GCD of 30, 84, 57, 90?

GCD of given numbers 30, 84, 57, 90 is 3

2. How to calculate the greatest common divisor of 30, 84, 57, 90?

We can find the highest common divisor of 30, 84, 57, 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 30, 84, 57, 90 i.e 3.

3. How can I use the GCD of 30, 84, 57, 90Calculator?

Out the numbers 30, 84, 57, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.