GCD of 897, 396, 393, 460 Calculator

Given Input numbers are 897, 396, 393, 460

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (897, 396, 393, 460) = 1.

Given numbers are 897, 396, 393, 460

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 393 are 3 x 131

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 897, 396, 393, 460

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

Apply this formula for all numbers.

Step1:

LCM(897, 396) = 118404

GCD(897, 396) = ( 897 x 396 ) / 118404

= 897 / 396

= 897

Step2:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3

Step3:

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

= 3 / 460

= 3

So, Greatest Common Divisor of 897, 396, 393, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 800, 198, 290
• GCD of 144, 879, 399, 858
• GCD of 750, 123, 801, 342
• GCD of 891, 859, 156, 662
• GCD of 909, 761, 279, 558

Given numbers are 897, 396, 393, 460
The greatest common divisor of numbers 897, 396, 393, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 396, 393, 460 is 1.

1. What is the GCD of 897, 396, 393, 460?

GCD of given numbers 897, 396, 393, 460 is 1

2. How to calculate the greatest common divisor of 897, 396, 393, 460?

We can find the highest common divisor of 897, 396, 393, 460 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, 396, 393, 460 i.e 1.

3. How can I use the GCD of 897, 396, 393, 460Calculator?

Out the numbers 897, 396, 393, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.