GCD of 800, 205, 652, 982 Calculator

Given Input numbers are 800, 205, 652, 982

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 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (800, 205, 652, 982) = 1.

Given numbers are 800, 205, 652, 982

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 205 are 5 x 41

Prime factors of 652 are 2 x 2 x 163

Prime factors of 982 are 2 x 491

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

Given numbers are 800, 205, 652, 982

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

Apply this formula for all numbers.

Step1:

LCM(800, 205) = 32800

GCD(800, 205) = ( 800 x 205 ) / 32800

= 800 / 205

= 800

Step2:

LCM(5, 652) = 3260

GCD(5, 652) = ( 5 x 652 ) / 3260

= 5 / 652

= 5

Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

So, Greatest Common Divisor of 800, 205, 652, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 698, 373, 493
• GCD of 246, 356, 105, 121
• GCD of 822, 234, 180, 163
• GCD of 917, 716, 613, 376
• GCD of 192, 448, 189, 474

Given numbers are 800, 205, 652, 982
The greatest common divisor of numbers 800, 205, 652, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 205, 652, 982 is 1.

1. What is the GCD of 800, 205, 652, 982?

GCD of given numbers 800, 205, 652, 982 is 1

2. How to calculate the greatest common divisor of 800, 205, 652, 982?

We can find the highest common divisor of 800, 205, 652, 982 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, 205, 652, 982 i.e 1.

3. How can I use the GCD of 800, 205, 652, 982Calculator?

Out the numbers 800, 205, 652, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.