GCD of 720, 578, 969, 822 Calculator

Given Input numbers are 720, 578, 969, 822

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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 (720, 578, 969, 822) = 1.

Given numbers are 720, 578, 969, 822

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 578 are 2 x 17 x 17

Prime factors of 969 are 3 x 17 x 19

Prime factors of 822 are 2 x 3 x 137

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

Given numbers are 720, 578, 969, 822

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

Apply this formula for all numbers.

Step1:

LCM(720, 578) = 208080

GCD(720, 578) = ( 720 x 578 ) / 208080

= 720 / 578

= 720

Step2:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 720, 578, 969, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 743, 371, 229
• GCD of 262, 770, 340, 606
• GCD of 788, 915, 169, 329
• GCD of 257, 829, 878, 889
• GCD of 928, 971, 815, 222

Given numbers are 720, 578, 969, 822
The greatest common divisor of numbers 720, 578, 969, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 578, 969, 822 is 1.

1. What is the GCD of 720, 578, 969, 822?

GCD of given numbers 720, 578, 969, 822 is 1

2. How to calculate the greatest common divisor of 720, 578, 969, 822?

We can find the highest common divisor of 720, 578, 969, 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 720, 578, 969, 822 i.e 1.

3. How can I use the GCD of 720, 578, 969, 822Calculator?

Out the numbers 720, 578, 969, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.