GCD of 256, 732, 420, 556 Calculator

Given Input numbers are 256, 732, 420, 556

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

GCD of numbers is the greatest common divisor

So, the GCD (256, 732, 420, 556) = 4.

Given numbers are 256, 732, 420, 556

The list of prime factors of all numbers are

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 556 are 2 x 2 x 139

The highest common occurrence is 2²

Therefore, GCD of 256, 732, 420, 556 is 4.

Given numbers are 256, 732, 420, 556

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

Apply this formula for all numbers.

Step1:

LCM(256, 732) = 46848

GCD(256, 732) = ( 256 x 732 ) / 46848

= 256 / 732

= 256

Step2:

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

= 4 / 420

= 4

Step3:

LCM(4, 556) = 556

GCD(4, 556) = ( 4 x 556 ) / 556

= 4 / 556

= 4

So, Greatest Common Divisor of 256, 732, 420, 556 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 155, 503, 350
• GCD of 393, 843, 945, 613
• GCD of 390, 237, 830, 942
• GCD of 819, 570, 341, 287
• GCD of 967, 624, 255, 619

Given numbers are 256, 732, 420, 556
The greatest common divisor of numbers 256, 732, 420, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 732, 420, 556 is 4.

1. What is the GCD of 256, 732, 420, 556?

GCD of given numbers 256, 732, 420, 556 is 4

2. How to calculate the greatest common divisor of 256, 732, 420, 556?

We can find the highest common divisor of 256, 732, 420, 556 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 256, 732, 420, 556 i.e 4.

3. How can I use the GCD of 256, 732, 420, 556Calculator?

Out the numbers 256, 732, 420, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.