GCD of 315, 581, 916, 828 Calculator

Given Input numbers are 315, 581, 916, 828

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 581 :

The positive integer divisors of 581 that completely divides 581 are.

1, 7, 83, 581

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (315, 581, 916, 828) = 1.

Given numbers are 315, 581, 916, 828

The list of prime factors of all numbers are

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

Prime factors of 581 are 7 x 83

Prime factors of 916 are 2 x 2 x 229

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 315, 581, 916, 828

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

Apply this formula for all numbers.

Step1:

LCM(315, 581) = 26145

GCD(315, 581) = ( 315 x 581 ) / 26145

= 315 / 581

= 315

Step2:

LCM(7, 916) = 6412

GCD(7, 916) = ( 7 x 916 ) / 6412

= 7 / 916

= 7

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 315, 581, 916, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 457, 449, 329
• GCD of 429, 366, 382, 254
• GCD of 142, 134, 379, 434
• GCD of 944, 156, 189, 581
• GCD of 311, 671, 473, 782

Given numbers are 315, 581, 916, 828
The greatest common divisor of numbers 315, 581, 916, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 581, 916, 828 is 1.

1. What is the GCD of 315, 581, 916, 828?

GCD of given numbers 315, 581, 916, 828 is 1

2. How to calculate the greatest common divisor of 315, 581, 916, 828?

We can find the highest common divisor of 315, 581, 916, 828 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, 581, 916, 828 i.e 1.

3. How can I use the GCD of 315, 581, 916, 828Calculator?

Out the numbers 315, 581, 916, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.