GCD of 137, 493, 564, 512 Calculator

Given Input numbers are 137, 493, 564, 512

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

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 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (137, 493, 564, 512) = 1.

Given numbers are 137, 493, 564, 512

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 493 are 17 x 29

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

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 137, 493, 564, 512

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

Apply this formula for all numbers.

Step1:

LCM(137, 493) = 67541

GCD(137, 493) = ( 137 x 493 ) / 67541

= 137 / 493

= 137

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

So, Greatest Common Divisor of 137, 493, 564, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 429, 710, 774
• GCD of 840, 697, 187, 883
• GCD of 589, 341, 289, 431
• GCD of 466, 442, 622, 957
• GCD of 909, 682, 719, 345

Given numbers are 137, 493, 564, 512
The greatest common divisor of numbers 137, 493, 564, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 493, 564, 512 is 1.

1. What is the GCD of 137, 493, 564, 512?

GCD of given numbers 137, 493, 564, 512 is 1

2. How to calculate the greatest common divisor of 137, 493, 564, 512?

We can find the highest common divisor of 137, 493, 564, 512 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 137, 493, 564, 512 i.e 1.

3. How can I use the GCD of 137, 493, 564, 512Calculator?

Out the numbers 137, 493, 564, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.