GCD of 762, 564, 512 Calculator

Given Input numbers are 762, 564, 512

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

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 (762, 564, 512) = 2.

Given numbers are 762, 564, 512

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

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 highest common occurrence is 2¹

Therefore, GCD of 762, 564, 512 is 2.

Given numbers are 762, 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(762, 564) = 71628

GCD(762, 564) = ( 762 x 564 ) / 71628

= 762 / 564

= 762

Step2:

LCM(6, 512) = 1536

GCD(6, 512) = ( 6 x 512 ) / 1536

= 6 / 512

= 6

So, Greatest Common Divisor of 762, 564, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 205, 678
• GCD of 515, 773, 397
• GCD of 120, 792, 545
• GCD of 875, 882, 815
• GCD of 522, 663, 170

Given numbers are 762, 564, 512
The greatest common divisor of numbers 762, 564, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 564, 512 is 2.

1. What is the GCD of 762, 564, 512?

GCD of given numbers 762, 564, 512 is 2

2. How to calculate the greatest common divisor of 762, 564, 512?

We can find the highest common divisor of 762, 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 762, 564, 512 i.e 2.

3. How can I use the GCD of 762, 564, 512Calculator?

Out the numbers 762, 564, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.