GCD of 800, 580, 598, 634 Calculator

Given Input numbers are 800, 580, 598, 634

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (800, 580, 598, 634) = 2.

Given numbers are 800, 580, 598, 634

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 580 are 2 x 2 x 5 x 29

Prime factors of 598 are 2 x 13 x 23

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 800, 580, 598, 634 is 2.

Given numbers are 800, 580, 598, 634

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

Apply this formula for all numbers.

Step1:

LCM(800, 580) = 23200

GCD(800, 580) = ( 800 x 580 ) / 23200

= 800 / 580

= 800

Step2:

LCM(20, 598) = 5980

GCD(20, 598) = ( 20 x 598 ) / 5980

= 20 / 598

= 20

Step3:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

So, Greatest Common Divisor of 800, 580, 598, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 551, 217, 916
• GCD of 497, 435, 912, 209
• GCD of 902, 276, 364, 751
• GCD of 989, 561, 655, 853
• GCD of 817, 293, 554, 219

Given numbers are 800, 580, 598, 634
The greatest common divisor of numbers 800, 580, 598, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 580, 598, 634 is 2.

1. What is the GCD of 800, 580, 598, 634?

GCD of given numbers 800, 580, 598, 634 is 2

2. How to calculate the greatest common divisor of 800, 580, 598, 634?

We can find the highest common divisor of 800, 580, 598, 634 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, 580, 598, 634 i.e 2.

3. How can I use the GCD of 800, 580, 598, 634Calculator?

Out the numbers 800, 580, 598, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.