GCD of 564, 507, 446, 353 Calculator

Given Input numbers are 564, 507, 446, 353

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

GCD of numbers is the greatest common divisor

So, the GCD (564, 507, 446, 353) = 1.

Given numbers are 564, 507, 446, 353

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 507 are 3 x 13 x 13

Prime factors of 446 are 2 x 223

Prime factors of 353 are 353

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

Given numbers are 564, 507, 446, 353

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

Apply this formula for all numbers.

Step1:

LCM(564, 507) = 95316

GCD(564, 507) = ( 564 x 507 ) / 95316

= 564 / 507

= 564

Step2:

LCM(3, 446) = 1338

GCD(3, 446) = ( 3 x 446 ) / 1338

= 3 / 446

= 3

Step3:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1

So, Greatest Common Divisor of 564, 507, 446, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 249, 560, 675
• GCD of 127, 244, 175, 664
• GCD of 835, 538, 766, 486
• GCD of 172, 839, 584, 549
• GCD of 524, 258, 683, 672

Given numbers are 564, 507, 446, 353
The greatest common divisor of numbers 564, 507, 446, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 507, 446, 353 is 1.

1. What is the GCD of 564, 507, 446, 353?

GCD of given numbers 564, 507, 446, 353 is 1

2. How to calculate the greatest common divisor of 564, 507, 446, 353?

We can find the highest common divisor of 564, 507, 446, 353 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 564, 507, 446, 353 i.e 1.

3. How can I use the GCD of 564, 507, 446, 353Calculator?

Out the numbers 564, 507, 446, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.