GCD of 512, 136, 34, 820 Calculator

Given Input numbers are 512, 136, 34, 820

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

Divisors of 512 :

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

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (512, 136, 34, 820) = 2.

Given numbers are 512, 136, 34, 820

The list of prime factors of all numbers are

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

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 34 are 2 x 17

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 512, 136, 34, 820 is 2.

Given numbers are 512, 136, 34, 820

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

Apply this formula for all numbers.

Step1:

LCM(512, 136) = 8704

GCD(512, 136) = ( 512 x 136 ) / 8704

= 512 / 136

= 512

Step2:

LCM(8, 34) = 136

GCD(8, 34) = ( 8 x 34 ) / 136

= 8 / 34

= 8

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 512, 136, 34, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 692, 82, 371
• GCD of 460, 873, 97, 187
• GCD of 111, 663, 17, 370
• GCD of 101, 333, 88, 361
• GCD of 786, 338, 14, 817

Given numbers are 512, 136, 34, 820
The greatest common divisor of numbers 512, 136, 34, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 136, 34, 820 is 2.

1. What is the GCD of 512, 136, 34, 820?

GCD of given numbers 512, 136, 34, 820 is 2

2. How to calculate the greatest common divisor of 512, 136, 34, 820?

We can find the highest common divisor of 512, 136, 34, 820 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 512, 136, 34, 820 i.e 2.

3. How can I use the GCD of 512, 136, 34, 820Calculator?

Out the numbers 512, 136, 34, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.