GCD of 800, 580, 145, 790 Calculator

Given Input numbers are 800, 580, 145, 790

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 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (800, 580, 145, 790) = 5.

Given numbers are 800, 580, 145, 790

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 145 are 5 x 29

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 5¹

Therefore, GCD of 800, 580, 145, 790 is 5.

Given numbers are 800, 580, 145, 790

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, 145) = 580

GCD(20, 145) = ( 20 x 145 ) / 580

= 20 / 145

= 20

Step3:

LCM(5, 790) = 790

GCD(5, 790) = ( 5 x 790 ) / 790

= 5 / 790

= 5

So, Greatest Common Divisor of 800, 580, 145, 790 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 379, 904, 671
• GCD of 161, 223, 720, 210
• GCD of 341, 232, 776, 373
• GCD of 237, 523, 329, 554
• GCD of 474, 306, 249, 180

Given numbers are 800, 580, 145, 790
The greatest common divisor of numbers 800, 580, 145, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 580, 145, 790 is 5.

1. What is the GCD of 800, 580, 145, 790?

GCD of given numbers 800, 580, 145, 790 is 5

2. How to calculate the greatest common divisor of 800, 580, 145, 790?

We can find the highest common divisor of 800, 580, 145, 790 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, 145, 790 i.e 5.

3. How can I use the GCD of 800, 580, 145, 790Calculator?

Out the numbers 800, 580, 145, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.