GCD of 821, 226, 180, 256 Calculator

Given Input numbers are 821, 226, 180, 256

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 (821, 226, 180, 256) = 1.

Given numbers are 821, 226, 180, 256

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 226 are 2 x 113

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 256 are 2 x 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 821, 226, 180, 256

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

Apply this formula for all numbers.

Step1:

LCM(821, 226) = 185546

GCD(821, 226) = ( 821 x 226 ) / 185546

= 821 / 226

= 821

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

= 1 / 256

= 1

So, Greatest Common Divisor of 821, 226, 180, 256 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 895, 208, 658
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• GCD of 387, 442, 608, 855
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• GCD of 591, 253, 600, 449

Given numbers are 821, 226, 180, 256
The greatest common divisor of numbers 821, 226, 180, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 226, 180, 256 is 1.

1. What is the GCD of 821, 226, 180, 256?

GCD of given numbers 821, 226, 180, 256 is 1

2. How to calculate the greatest common divisor of 821, 226, 180, 256?

We can find the highest common divisor of 821, 226, 180, 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 821, 226, 180, 256 i.e 1.

3. How can I use the GCD of 821, 226, 180, 256Calculator?

Out the numbers 821, 226, 180, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.