GCD of 978, 225, 165, 405 Calculator

Given Input numbers are 978, 225, 165, 405

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

GCD of numbers is the greatest common divisor

So, the GCD (978, 225, 165, 405) = 3.

Given numbers are 978, 225, 165, 405

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 165 are 3 x 5 x 11

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 978, 225, 165, 405 is 3.

Given numbers are 978, 225, 165, 405

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

Apply this formula for all numbers.

Step1:

LCM(978, 225) = 73350

GCD(978, 225) = ( 978 x 225 ) / 73350

= 978 / 225

= 978

Step2:

LCM(3, 165) = 165

GCD(3, 165) = ( 3 x 165 ) / 165

= 3 / 165

= 3

Step3:

LCM(3, 405) = 405

GCD(3, 405) = ( 3 x 405 ) / 405

= 3 / 405

= 3

So, Greatest Common Divisor of 978, 225, 165, 405 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 161, 525, 481
• GCD of 424, 234, 459, 723
• GCD of 828, 679, 283, 678
• GCD of 605, 305, 516, 465
• GCD of 750, 292, 891, 776

Given numbers are 978, 225, 165, 405
The greatest common divisor of numbers 978, 225, 165, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 225, 165, 405 is 3.

1. What is the GCD of 978, 225, 165, 405?

GCD of given numbers 978, 225, 165, 405 is 3

2. How to calculate the greatest common divisor of 978, 225, 165, 405?

We can find the highest common divisor of 978, 225, 165, 405 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 978, 225, 165, 405 i.e 3.

3. How can I use the GCD of 978, 225, 165, 405Calculator?

Out the numbers 978, 225, 165, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.