GCD of 144, 570, 822, 711 Calculator

Given Input numbers are 144, 570, 822, 711

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 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 822 :

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

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

GCD of numbers is the greatest common divisor

So, the GCD (144, 570, 822, 711) = 3.

Given numbers are 144, 570, 822, 711

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 570 are 2 x 3 x 5 x 19

Prime factors of 822 are 2 x 3 x 137

Prime factors of 711 are 3 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 144, 570, 822, 711 is 3.

Given numbers are 144, 570, 822, 711

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

Apply this formula for all numbers.

Step1:

LCM(144, 570) = 13680

GCD(144, 570) = ( 144 x 570 ) / 13680

= 144 / 570

= 144

Step2:

LCM(6, 822) = 822

GCD(6, 822) = ( 6 x 822 ) / 822

= 6 / 822

= 6

Step3:

LCM(6, 711) = 1422

GCD(6, 711) = ( 6 x 711 ) / 1422

= 6 / 711

= 6

So, Greatest Common Divisor of 144, 570, 822, 711 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 178, 876, 183
• GCD of 937, 555, 211, 427
• GCD of 839, 775, 710, 160
• GCD of 431, 858, 583, 917
• GCD of 708, 580, 387, 363

Given numbers are 144, 570, 822, 711
The greatest common divisor of numbers 144, 570, 822, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 570, 822, 711 is 3.

1. What is the GCD of 144, 570, 822, 711?

GCD of given numbers 144, 570, 822, 711 is 3

2. How to calculate the greatest common divisor of 144, 570, 822, 711?

We can find the highest common divisor of 144, 570, 822, 711 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, 570, 822, 711 i.e 3.

3. How can I use the GCD of 144, 570, 822, 711Calculator?

Out the numbers 144, 570, 822, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.