GCD of 400, 589, 550, 791 Calculator

Given Input numbers are 400, 589, 550, 791

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 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

GCD of numbers is the greatest common divisor

So, the GCD (400, 589, 550, 791) = 1.

Given numbers are 400, 589, 550, 791

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 589 are 19 x 31

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 791 are 7 x 113

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

Given numbers are 400, 589, 550, 791

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

Apply this formula for all numbers.

Step1:

LCM(400, 589) = 235600

GCD(400, 589) = ( 400 x 589 ) / 235600

= 400 / 589

= 400

Step2:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1

Step3:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1

So, Greatest Common Divisor of 400, 589, 550, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 837, 378, 220
• GCD of 260, 970, 158, 809
• GCD of 749, 575, 612, 418
• GCD of 136, 754, 360, 734
• GCD of 671, 772, 294, 246

Given numbers are 400, 589, 550, 791
The greatest common divisor of numbers 400, 589, 550, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 589, 550, 791 is 1.

1. What is the GCD of 400, 589, 550, 791?

GCD of given numbers 400, 589, 550, 791 is 1

2. How to calculate the greatest common divisor of 400, 589, 550, 791?

We can find the highest common divisor of 400, 589, 550, 791 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, 589, 550, 791 i.e 1.

3. How can I use the GCD of 400, 589, 550, 791Calculator?

Out the numbers 400, 589, 550, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.