GCD of 900, 736, 478, 256 Calculator

Given Input numbers are 900, 736, 478, 256

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 256 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (900, 736, 478, 256) = 2.

Given numbers are 900, 736, 478, 256

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 478 are 2 x 239

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

The highest common occurrence is 2¹

Therefore, GCD of 900, 736, 478, 256 is 2.

Given numbers are 900, 736, 478, 256

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

Apply this formula for all numbers.

Step1:

LCM(900, 736) = 165600

GCD(900, 736) = ( 900 x 736 ) / 165600

= 900 / 736

= 900

Step2:

LCM(4, 478) = 956

GCD(4, 478) = ( 4 x 478 ) / 956

= 4 / 478

= 4

Step3:

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

= 2 / 256

= 2

So, Greatest Common Divisor of 900, 736, 478, 256 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 380, 773, 583
• GCD of 356, 237, 789, 694
• GCD of 387, 715, 921, 764
• GCD of 742, 620, 691, 457
• GCD of 434, 199, 970, 723

Given numbers are 900, 736, 478, 256
The greatest common divisor of numbers 900, 736, 478, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 736, 478, 256 is 2.

1. What is the GCD of 900, 736, 478, 256?

GCD of given numbers 900, 736, 478, 256 is 2

2. How to calculate the greatest common divisor of 900, 736, 478, 256?

We can find the highest common divisor of 900, 736, 478, 256 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 900, 736, 478, 256 i.e 2.

3. How can I use the GCD of 900, 736, 478, 256Calculator?

Out the numbers 900, 736, 478, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.