GCD of 822, 961, 712, 432 Calculator

Given Input numbers are 822, 961, 712, 432

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

Divisors of 822 :

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

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (822, 961, 712, 432) = 1.

Given numbers are 822, 961, 712, 432

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 961 are 31 x 31

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 822, 961, 712, 432

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

Apply this formula for all numbers.

Step1:

LCM(822, 961) = 789942

GCD(822, 961) = ( 822 x 961 ) / 789942

= 822 / 961

= 822

Step2:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 822, 961, 712, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 993, 726, 236
• GCD of 594, 637, 405, 770
• GCD of 277, 769, 264, 919
• GCD of 117, 605, 449, 383
• GCD of 324, 796, 966, 549

Given numbers are 822, 961, 712, 432
The greatest common divisor of numbers 822, 961, 712, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 961, 712, 432 is 1.

1. What is the GCD of 822, 961, 712, 432?

GCD of given numbers 822, 961, 712, 432 is 1

2. How to calculate the greatest common divisor of 822, 961, 712, 432?

We can find the highest common divisor of 822, 961, 712, 432 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 822, 961, 712, 432 i.e 1.

3. How can I use the GCD of 822, 961, 712, 432Calculator?

Out the numbers 822, 961, 712, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.