GCD of 900, 162, 820, 785 Calculator

Given Input numbers are 900, 162, 820, 785

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

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

GCD of numbers is the greatest common divisor

So, the GCD (900, 162, 820, 785) = 1.

Given numbers are 900, 162, 820, 785

The list of prime factors of all numbers are

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 785 are 5 x 157

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

Given numbers are 900, 162, 820, 785

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

Apply this formula for all numbers.

Step1:

LCM(900, 162) = 8100

GCD(900, 162) = ( 900 x 162 ) / 8100

= 900 / 162

= 900

Step2:

LCM(18, 820) = 7380

GCD(18, 820) = ( 18 x 820 ) / 7380

= 18 / 820

= 18

Step3:

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

= 2 / 785

= 2

So, Greatest Common Divisor of 900, 162, 820, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 372, 187, 255
• GCD of 705, 908, 338, 335
• GCD of 759, 861, 717, 800
• GCD of 884, 676, 627, 684
• GCD of 188, 478, 934, 790

Given numbers are 900, 162, 820, 785
The greatest common divisor of numbers 900, 162, 820, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 162, 820, 785 is 1.

1. What is the GCD of 900, 162, 820, 785?

GCD of given numbers 900, 162, 820, 785 is 1

2. How to calculate the greatest common divisor of 900, 162, 820, 785?

We can find the highest common divisor of 900, 162, 820, 785 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 900, 162, 820, 785 i.e 1.

3. How can I use the GCD of 900, 162, 820, 785Calculator?

Out the numbers 900, 162, 820, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.