GCD of 369, 552, 30 Calculator

Given Input numbers are 369, 552, 30

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 30 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (369, 552, 30) = 3.

Given numbers are 369, 552, 30

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 369, 552, 30 is 3.

Given numbers are 369, 552, 30

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

Apply this formula for all numbers.

Step1:

LCM(369, 552) = 67896

GCD(369, 552) = ( 369 x 552 ) / 67896

= 369 / 552

= 369

Step2:

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3

So, Greatest Common Divisor of 369, 552, 30 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 976, 23
• GCD of 684, 396, 70
• GCD of 432, 261, 58
• GCD of 147, 234, 65
• GCD of 788, 120, 53

Given numbers are 369, 552, 30
The greatest common divisor of numbers 369, 552, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 552, 30 is 3.

1. What is the GCD of 369, 552, 30?

GCD of given numbers 369, 552, 30 is 3

2. How to calculate the greatest common divisor of 369, 552, 30?

We can find the highest common divisor of 369, 552, 30 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 369, 552, 30 i.e 3.

3. How can I use the GCD of 369, 552, 30Calculator?

Out the numbers 369, 552, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.