GCD of 115, 284, 355, 872 Calculator

Given Input numbers are 115, 284, 355, 872

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

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (115, 284, 355, 872) = 1.

Given numbers are 115, 284, 355, 872

The list of prime factors of all numbers are

Prime factors of 115 are 5 x 23

Prime factors of 284 are 2 x 2 x 71

Prime factors of 355 are 5 x 71

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 115, 284, 355, 872

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

Apply this formula for all numbers.

Step1:

LCM(115, 284) = 32660

GCD(115, 284) = ( 115 x 284 ) / 32660

= 115 / 284

= 115

Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 115, 284, 355, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 550, 406, 783
• GCD of 863, 288, 902, 481
• GCD of 283, 349, 946, 786
• GCD of 599, 845, 490, 152
• GCD of 401, 856, 413, 511

Given numbers are 115, 284, 355, 872
The greatest common divisor of numbers 115, 284, 355, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 115, 284, 355, 872 is 1.

1. What is the GCD of 115, 284, 355, 872?

GCD of given numbers 115, 284, 355, 872 is 1

2. How to calculate the greatest common divisor of 115, 284, 355, 872?

We can find the highest common divisor of 115, 284, 355, 872 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 115, 284, 355, 872 i.e 1.

3. How can I use the GCD of 115, 284, 355, 872Calculator?

Out the numbers 115, 284, 355, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.