GCD of 387, 912, 315, 580 Calculator

Given Input numbers are 387, 912, 315, 580

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (387, 912, 315, 580) = 1.

Given numbers are 387, 912, 315, 580

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 580 are 2 x 2 x 5 x 29

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

Given numbers are 387, 912, 315, 580

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

Apply this formula for all numbers.

Step1:

LCM(387, 912) = 117648

GCD(387, 912) = ( 387 x 912 ) / 117648

= 387 / 912

= 387

Step2:

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

= 3 / 315

= 3

Step3:

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

= 3 / 580

= 3

So, Greatest Common Divisor of 387, 912, 315, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 994, 857, 879
• GCD of 696, 642, 735, 302
• GCD of 797, 820, 569, 408
• GCD of 578, 541, 131, 491
• GCD of 947, 539, 659, 187

Given numbers are 387, 912, 315, 580
The greatest common divisor of numbers 387, 912, 315, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 912, 315, 580 is 1.

1. What is the GCD of 387, 912, 315, 580?

GCD of given numbers 387, 912, 315, 580 is 1

2. How to calculate the greatest common divisor of 387, 912, 315, 580?

We can find the highest common divisor of 387, 912, 315, 580 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 387, 912, 315, 580 i.e 1.

3. How can I use the GCD of 387, 912, 315, 580Calculator?

Out the numbers 387, 912, 315, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.