GCD of 270, 592, 512, 378 Calculator

Given Input numbers are 270, 592, 512, 378

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

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

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (270, 592, 512, 378) = 2.

Given numbers are 270, 592, 512, 378

The list of prime factors of all numbers are

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

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

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 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 270, 592, 512, 378 is 2.

Given numbers are 270, 592, 512, 378

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

Apply this formula for all numbers.

Step1:

LCM(270, 592) = 79920

GCD(270, 592) = ( 270 x 592 ) / 79920

= 270 / 592

= 270

Step2:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 270, 592, 512, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 803, 520, 357
• GCD of 855, 122, 736, 233
• GCD of 587, 502, 939, 633
• GCD of 573, 794, 448, 360
• GCD of 389, 762, 338, 207

Given numbers are 270, 592, 512, 378
The greatest common divisor of numbers 270, 592, 512, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 592, 512, 378 is 2.

1. What is the GCD of 270, 592, 512, 378?

GCD of given numbers 270, 592, 512, 378 is 2

2. How to calculate the greatest common divisor of 270, 592, 512, 378?

We can find the highest common divisor of 270, 592, 512, 378 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 270, 592, 512, 378 i.e 2.

3. How can I use the GCD of 270, 592, 512, 378Calculator?

Out the numbers 270, 592, 512, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.