GCD of 512, 764, 270 Calculator

Given Input numbers are 512, 764, 270

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (512, 764, 270) = 2.

Given numbers are 512, 764, 270

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 764 are 2 x 2 x 191

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 512, 764, 270 is 2.

Given numbers are 512, 764, 270

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

Apply this formula for all numbers.

Step1:

LCM(512, 764) = 97792

GCD(512, 764) = ( 512 x 764 ) / 97792

= 512 / 764

= 512

Step2:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

So, Greatest Common Divisor of 512, 764, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 526, 174
• GCD of 318, 346, 376
• GCD of 953, 237, 502
• GCD of 268, 216, 978
• GCD of 941, 362, 693

Given numbers are 512, 764, 270
The greatest common divisor of numbers 512, 764, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 764, 270 is 2.

1. What is the GCD of 512, 764, 270?

GCD of given numbers 512, 764, 270 is 2

2. How to calculate the greatest common divisor of 512, 764, 270?

We can find the highest common divisor of 512, 764, 270 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, 764, 270 i.e 2.

3. How can I use the GCD of 512, 764, 270Calculator?

Out the numbers 512, 764, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.