GCD of 144, 660, 220, 822 Calculator

Given Input numbers are 144, 660, 220, 822

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (144, 660, 220, 822) = 2.

Given numbers are 144, 660, 220, 822

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 144, 660, 220, 822 is 2.

Given numbers are 144, 660, 220, 822

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

Apply this formula for all numbers.

Step1:

LCM(144, 660) = 7920

GCD(144, 660) = ( 144 x 660 ) / 7920

= 144 / 660

= 144

Step2:

LCM(12, 220) = 660

GCD(12, 220) = ( 12 x 220 ) / 660

= 12 / 220

= 12

Step3:

LCM(4, 822) = 1644

GCD(4, 822) = ( 4 x 822 ) / 1644

= 4 / 822

= 4

So, Greatest Common Divisor of 144, 660, 220, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 636, 364, 706
• GCD of 789, 108, 793, 663
• GCD of 869, 716, 957, 397
• GCD of 878, 622, 778, 218
• GCD of 653, 396, 519, 394

Given numbers are 144, 660, 220, 822
The greatest common divisor of numbers 144, 660, 220, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 660, 220, 822 is 2.

1. What is the GCD of 144, 660, 220, 822?

GCD of given numbers 144, 660, 220, 822 is 2

2. How to calculate the greatest common divisor of 144, 660, 220, 822?

We can find the highest common divisor of 144, 660, 220, 822 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 144, 660, 220, 822 i.e 2.

3. How can I use the GCD of 144, 660, 220, 822Calculator?

Out the numbers 144, 660, 220, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.