GCD of 355, 505, 364, 569 Calculator

Given Input numbers are 355, 505, 364, 569

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

Divisors of 355 :

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

1, 5, 71, 355

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 569 :

The positive integer divisors of 569 that completely divides 569 are.

1, 569

GCD of numbers is the greatest common divisor

So, the GCD (355, 505, 364, 569) = 1.

Given numbers are 355, 505, 364, 569

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 505 are 5 x 101

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 569 are 569

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

Given numbers are 355, 505, 364, 569

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

Apply this formula for all numbers.

Step1:

LCM(355, 505) = 35855

GCD(355, 505) = ( 355 x 505 ) / 35855

= 355 / 505

= 355

Step2:

LCM(5, 364) = 1820

GCD(5, 364) = ( 5 x 364 ) / 1820

= 5 / 364

= 5

Step3:

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

= 1 / 569

= 1

So, Greatest Common Divisor of 355, 505, 364, 569 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 455, 847, 458
• GCD of 246, 351, 330, 811
• GCD of 649, 342, 280, 907
• GCD of 599, 581, 411, 643
• GCD of 654, 287, 887, 462

Given numbers are 355, 505, 364, 569
The greatest common divisor of numbers 355, 505, 364, 569 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 505, 364, 569 is 1.

1. What is the GCD of 355, 505, 364, 569?

GCD of given numbers 355, 505, 364, 569 is 1

2. How to calculate the greatest common divisor of 355, 505, 364, 569?

We can find the highest common divisor of 355, 505, 364, 569 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 355, 505, 364, 569 i.e 1.

3. How can I use the GCD of 355, 505, 364, 569Calculator?

Out the numbers 355, 505, 364, 569 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.