GCD of 564, 768, 967, 460 Calculator

Given Input numbers are 564, 768, 967, 460

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 967 :

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

1, 967

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (564, 768, 967, 460) = 1.

Given numbers are 564, 768, 967, 460

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 967 are 967

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 564, 768, 967, 460

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

Apply this formula for all numbers.

Step1:

LCM(564, 768) = 36096

GCD(564, 768) = ( 564 x 768 ) / 36096

= 564 / 768

= 564

Step2:

LCM(12, 967) = 11604

GCD(12, 967) = ( 12 x 967 ) / 11604

= 12 / 967

= 12

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 564, 768, 967, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 968, 598, 297
• GCD of 293, 270, 483, 453
• GCD of 770, 296, 878, 770
• GCD of 948, 251, 431, 872
• GCD of 194, 376, 345, 137

Given numbers are 564, 768, 967, 460
The greatest common divisor of numbers 564, 768, 967, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 768, 967, 460 is 1.

1. What is the GCD of 564, 768, 967, 460?

GCD of given numbers 564, 768, 967, 460 is 1

2. How to calculate the greatest common divisor of 564, 768, 967, 460?

We can find the highest common divisor of 564, 768, 967, 460 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, 768, 967, 460 i.e 1.

3. How can I use the GCD of 564, 768, 967, 460Calculator?

Out the numbers 564, 768, 967, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.