GCD of 897, 450, 390, 162 Calculator

Given Input numbers are 897, 450, 390, 162

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (897, 450, 390, 162) = 3.

Given numbers are 897, 450, 390, 162

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 897, 450, 390, 162 is 3.

Given numbers are 897, 450, 390, 162

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

Apply this formula for all numbers.

Step1:

LCM(897, 450) = 134550

GCD(897, 450) = ( 897 x 450 ) / 134550

= 897 / 450

= 897

Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 897, 450, 390, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 377, 593, 205
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• GCD of 900, 240, 929, 465
• GCD of 725, 871, 386, 999
• GCD of 472, 218, 881, 106

Given numbers are 897, 450, 390, 162
The greatest common divisor of numbers 897, 450, 390, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 450, 390, 162 is 3.

1. What is the GCD of 897, 450, 390, 162?

GCD of given numbers 897, 450, 390, 162 is 3

2. How to calculate the greatest common divisor of 897, 450, 390, 162?

We can find the highest common divisor of 897, 450, 390, 162 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 897, 450, 390, 162 i.e 3.

3. How can I use the GCD of 897, 450, 390, 162Calculator?

Out the numbers 897, 450, 390, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.