GCD of 790, 488, 216, 900 Calculator

Given Input numbers are 790, 488, 216, 900

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

Divisors of 790 :

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

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (790, 488, 216, 900) = 2.

Given numbers are 790, 488, 216, 900

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 790, 488, 216, 900 is 2.

Given numbers are 790, 488, 216, 900

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

Apply this formula for all numbers.

Step1:

LCM(790, 488) = 192760

GCD(790, 488) = ( 790 x 488 ) / 192760

= 790 / 488

= 790

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 790, 488, 216, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 665, 181, 723
• GCD of 585, 875, 394, 963
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Given numbers are 790, 488, 216, 900
The greatest common divisor of numbers 790, 488, 216, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 488, 216, 900 is 2.

1. What is the GCD of 790, 488, 216, 900?

GCD of given numbers 790, 488, 216, 900 is 2

2. How to calculate the greatest common divisor of 790, 488, 216, 900?

We can find the highest common divisor of 790, 488, 216, 900 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 790, 488, 216, 900 i.e 2.

3. How can I use the GCD of 790, 488, 216, 900Calculator?

Out the numbers 790, 488, 216, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.