GCD of 820, 854, 162, 180 Calculator

Given Input numbers are 820, 854, 162, 180

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

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (820, 854, 162, 180) = 2.

Given numbers are 820, 854, 162, 180

The list of prime factors of all numbers are

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

Prime factors of 854 are 2 x 7 x 61

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 820, 854, 162, 180 is 2.

Given numbers are 820, 854, 162, 180

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

Apply this formula for all numbers.

Step1:

LCM(820, 854) = 350140

GCD(820, 854) = ( 820 x 854 ) / 350140

= 820 / 854

= 820

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 820, 854, 162, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 532, 120, 177
• GCD of 530, 598, 321, 992
• GCD of 744, 116, 788, 471
• GCD of 275, 259, 886, 558
• GCD of 223, 280, 463, 667

Given numbers are 820, 854, 162, 180
The greatest common divisor of numbers 820, 854, 162, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 854, 162, 180 is 2.

1. What is the GCD of 820, 854, 162, 180?

GCD of given numbers 820, 854, 162, 180 is 2

2. How to calculate the greatest common divisor of 820, 854, 162, 180?

We can find the highest common divisor of 820, 854, 162, 180 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 820, 854, 162, 180 i.e 2.

3. How can I use the GCD of 820, 854, 162, 180Calculator?

Out the numbers 820, 854, 162, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.