GCD of 400, 261, 404, 856 Calculator

Given Input numbers are 400, 261, 404, 856

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

GCD of numbers is the greatest common divisor

So, the GCD (400, 261, 404, 856) = 1.

Given numbers are 400, 261, 404, 856

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 261 are 3 x 3 x 29

Prime factors of 404 are 2 x 2 x 101

Prime factors of 856 are 2 x 2 x 2 x 107

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

Given numbers are 400, 261, 404, 856

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

Apply this formula for all numbers.

Step1:

LCM(400, 261) = 104400

GCD(400, 261) = ( 400 x 261 ) / 104400

= 400 / 261

= 400

Step2:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1

Step3:

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

= 1 / 856

= 1

So, Greatest Common Divisor of 400, 261, 404, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 657, 866, 308
• GCD of 567, 889, 647, 252
• GCD of 594, 447, 632, 749
• GCD of 389, 906, 187, 110
• GCD of 121, 607, 529, 288

Given numbers are 400, 261, 404, 856
The greatest common divisor of numbers 400, 261, 404, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 261, 404, 856 is 1.

1. What is the GCD of 400, 261, 404, 856?

GCD of given numbers 400, 261, 404, 856 is 1

2. How to calculate the greatest common divisor of 400, 261, 404, 856?

We can find the highest common divisor of 400, 261, 404, 856 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, 261, 404, 856 i.e 1.

3. How can I use the GCD of 400, 261, 404, 856Calculator?

Out the numbers 400, 261, 404, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.