GCD of 465, 225, 216, 358 Calculator

Given Input numbers are 465, 225, 216, 358

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (465, 225, 216, 358) = 1.

Given numbers are 465, 225, 216, 358

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 358 are 2 x 179

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 465, 225, 216, 358

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

Apply this formula for all numbers.

Step1:

LCM(465, 225) = 6975

GCD(465, 225) = ( 465 x 225 ) / 6975

= 465 / 225

= 465

Step2:

LCM(15, 216) = 1080

GCD(15, 216) = ( 15 x 216 ) / 1080

= 15 / 216

= 15

Step3:

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

= 3 / 358

= 3

So, Greatest Common Divisor of 465, 225, 216, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 466, 219, 183
• GCD of 731, 183, 298, 523
• GCD of 386, 547, 965, 673
• GCD of 955, 628, 807, 178
• GCD of 214, 844, 138, 796

Given numbers are 465, 225, 216, 358
The greatest common divisor of numbers 465, 225, 216, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 225, 216, 358 is 1.

1. What is the GCD of 465, 225, 216, 358?

GCD of given numbers 465, 225, 216, 358 is 1

2. How to calculate the greatest common divisor of 465, 225, 216, 358?

We can find the highest common divisor of 465, 225, 216, 358 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 465, 225, 216, 358 i.e 1.

3. How can I use the GCD of 465, 225, 216, 358Calculator?

Out the numbers 465, 225, 216, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.