GCD of 360, 138, 897, 320 Calculator

Given Input numbers are 360, 138, 897, 320

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 897 :

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

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (360, 138, 897, 320) = 1.

Given numbers are 360, 138, 897, 320

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 897 are 3 x 13 x 23

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 360, 138, 897, 320

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

Apply this formula for all numbers.

Step1:

LCM(360, 138) = 8280

GCD(360, 138) = ( 360 x 138 ) / 8280

= 360 / 138

= 360

Step2:

LCM(6, 897) = 1794

GCD(6, 897) = ( 6 x 897 ) / 1794

= 6 / 897

= 6

Step3:

LCM(3, 320) = 960

GCD(3, 320) = ( 3 x 320 ) / 960

= 3 / 320

= 3

So, Greatest Common Divisor of 360, 138, 897, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 930, 355, 547
• GCD of 213, 645, 101, 621
• GCD of 492, 136, 258, 464
• GCD of 875, 173, 384, 803
• GCD of 301, 550, 250, 706

Given numbers are 360, 138, 897, 320
The greatest common divisor of numbers 360, 138, 897, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 138, 897, 320 is 1.

1. What is the GCD of 360, 138, 897, 320?

GCD of given numbers 360, 138, 897, 320 is 1

2. How to calculate the greatest common divisor of 360, 138, 897, 320?

We can find the highest common divisor of 360, 138, 897, 320 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 360, 138, 897, 320 i.e 1.

3. How can I use the GCD of 360, 138, 897, 320Calculator?

Out the numbers 360, 138, 897, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.