GCD of 512, 608, 867, 967 Calculator

Given Input numbers are 512, 608, 867, 967

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 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

GCD of numbers is the greatest common divisor

So, the GCD (512, 608, 867, 967) = 1.

Given numbers are 512, 608, 867, 967

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 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 867 are 3 x 17 x 17

Prime factors of 967 are 967

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

Given numbers are 512, 608, 867, 967

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

Apply this formula for all numbers.

Step1:

LCM(512, 608) = 9728

GCD(512, 608) = ( 512 x 608 ) / 9728

= 512 / 608

= 512

Step2:

LCM(32, 867) = 27744

GCD(32, 867) = ( 32 x 867 ) / 27744

= 32 / 867

= 32

Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1

So, Greatest Common Divisor of 512, 608, 867, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 758, 837, 140
• GCD of 421, 599, 151, 315
• GCD of 480, 802, 588, 975
• GCD of 317, 645, 101, 477
• GCD of 477, 239, 458, 421

Given numbers are 512, 608, 867, 967
The greatest common divisor of numbers 512, 608, 867, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 608, 867, 967 is 1.

1. What is the GCD of 512, 608, 867, 967?

GCD of given numbers 512, 608, 867, 967 is 1

2. How to calculate the greatest common divisor of 512, 608, 867, 967?

We can find the highest common divisor of 512, 608, 867, 967 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, 608, 867, 967 i.e 1.

3. How can I use the GCD of 512, 608, 867, 967Calculator?

Out the numbers 512, 608, 867, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.