GCD of 400, 225, 506, 128 Calculator

Given Input numbers are 400, 225, 506, 128

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 225, 506, 128) = 1.

Given numbers are 400, 225, 506, 128

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 506 are 2 x 11 x 23

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 225, 506, 128

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

Apply this formula for all numbers.

Step1:

LCM(400, 225) = 3600

GCD(400, 225) = ( 400 x 225 ) / 3600

= 400 / 225

= 400

Step2:

LCM(25, 506) = 12650

GCD(25, 506) = ( 25 x 506 ) / 12650

= 25 / 506

= 25

Step3:

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

= 1 / 128

= 1

So, Greatest Common Divisor of 400, 225, 506, 128 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 330, 620, 133
• GCD of 165, 548, 370, 880
• GCD of 229, 477, 364, 457
• GCD of 143, 333, 674, 268
• GCD of 221, 219, 687, 988

Given numbers are 400, 225, 506, 128
The greatest common divisor of numbers 400, 225, 506, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 225, 506, 128 is 1.

1. What is the GCD of 400, 225, 506, 128?

GCD of given numbers 400, 225, 506, 128 is 1

2. How to calculate the greatest common divisor of 400, 225, 506, 128?

We can find the highest common divisor of 400, 225, 506, 128 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 400, 225, 506, 128 i.e 1.

3. How can I use the GCD of 400, 225, 506, 128Calculator?

Out the numbers 400, 225, 506, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.