GCD of 800, 553, 659, 394 Calculator

Given Input numbers are 800, 553, 659, 394

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (800, 553, 659, 394) = 1.

Given numbers are 800, 553, 659, 394

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 553 are 7 x 79

Prime factors of 659 are 659

Prime factors of 394 are 2 x 197

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

Given numbers are 800, 553, 659, 394

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

Apply this formula for all numbers.

Step1:

LCM(800, 553) = 442400

GCD(800, 553) = ( 800 x 553 ) / 442400

= 800 / 553

= 800

Step2:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1

Step3:

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

= 1 / 394

= 1

So, Greatest Common Divisor of 800, 553, 659, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 462, 620, 588
• GCD of 752, 309, 883, 152
• GCD of 332, 791, 231, 525
• GCD of 814, 223, 344, 115
• GCD of 629, 579, 556, 344

Given numbers are 800, 553, 659, 394
The greatest common divisor of numbers 800, 553, 659, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 553, 659, 394 is 1.

1. What is the GCD of 800, 553, 659, 394?

GCD of given numbers 800, 553, 659, 394 is 1

2. How to calculate the greatest common divisor of 800, 553, 659, 394?

We can find the highest common divisor of 800, 553, 659, 394 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 800, 553, 659, 394 i.e 1.

3. How can I use the GCD of 800, 553, 659, 394Calculator?

Out the numbers 800, 553, 659, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.