GCD of 315, 420, 388, 587 Calculator

Given Input numbers are 315, 420, 388, 587

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

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 587 :

The positive integer divisors of 587 that completely divides 587 are.

1, 587

GCD of numbers is the greatest common divisor

So, the GCD (315, 420, 388, 587) = 1.

Given numbers are 315, 420, 388, 587

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 388 are 2 x 2 x 97

Prime factors of 587 are 587

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

Given numbers are 315, 420, 388, 587

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

Apply this formula for all numbers.

Step1:

LCM(315, 420) = 1260

GCD(315, 420) = ( 315 x 420 ) / 1260

= 315 / 420

= 315

Step2:

LCM(105, 388) = 40740

GCD(105, 388) = ( 105 x 388 ) / 40740

= 105 / 388

= 105

Step3:

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

= 1 / 587

= 1

So, Greatest Common Divisor of 315, 420, 388, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 271, 802, 898
• GCD of 990, 452, 367, 674
• GCD of 457, 622, 770, 297
• GCD of 761, 852, 401, 534
• GCD of 958, 873, 293, 621

Given numbers are 315, 420, 388, 587
The greatest common divisor of numbers 315, 420, 388, 587 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 420, 388, 587 is 1.

1. What is the GCD of 315, 420, 388, 587?

GCD of given numbers 315, 420, 388, 587 is 1

2. How to calculate the greatest common divisor of 315, 420, 388, 587?

We can find the highest common divisor of 315, 420, 388, 587 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 315, 420, 388, 587 i.e 1.

3. How can I use the GCD of 315, 420, 388, 587Calculator?

Out the numbers 315, 420, 388, 587 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.