GCD of 165, 225, 537, 462 Calculator

Given Input numbers are 165, 225, 537, 462

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

Divisors of 165 :

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

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

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 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (165, 225, 537, 462) = 3.

Given numbers are 165, 225, 537, 462

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

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

Prime factors of 537 are 3 x 179

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 165, 225, 537, 462 is 3.

Given numbers are 165, 225, 537, 462

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

Apply this formula for all numbers.

Step1:

LCM(165, 225) = 2475

GCD(165, 225) = ( 165 x 225 ) / 2475

= 165 / 225

= 165

Step2:

LCM(15, 537) = 2685

GCD(15, 537) = ( 15 x 537 ) / 2685

= 15 / 537

= 15

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 165, 225, 537, 462 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 590, 394, 665
• GCD of 720, 198, 544, 161
• GCD of 810, 106, 567, 541
• GCD of 492, 168, 543, 579
• GCD of 899, 993, 690, 531

Given numbers are 165, 225, 537, 462
The greatest common divisor of numbers 165, 225, 537, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 225, 537, 462 is 3.

1. What is the GCD of 165, 225, 537, 462?

GCD of given numbers 165, 225, 537, 462 is 3

2. How to calculate the greatest common divisor of 165, 225, 537, 462?

We can find the highest common divisor of 165, 225, 537, 462 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 165, 225, 537, 462 i.e 3.

3. How can I use the GCD of 165, 225, 537, 462Calculator?

Out the numbers 165, 225, 537, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.