GCD of 822, 360, 842, 543 Calculator

Given Input numbers are 822, 360, 842, 543

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (822, 360, 842, 543) = 1.

Given numbers are 822, 360, 842, 543

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 842 are 2 x 421

Prime factors of 543 are 3 x 181

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

Given numbers are 822, 360, 842, 543

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

Apply this formula for all numbers.

Step1:

LCM(822, 360) = 49320

GCD(822, 360) = ( 822 x 360 ) / 49320

= 822 / 360

= 822

Step2:

LCM(6, 842) = 2526

GCD(6, 842) = ( 6 x 842 ) / 2526

= 6 / 842

= 6

Step3:

LCM(2, 543) = 1086

GCD(2, 543) = ( 2 x 543 ) / 1086

= 2 / 543

= 2

So, Greatest Common Divisor of 822, 360, 842, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 992, 972, 701
• GCD of 728, 780, 769, 164
• GCD of 182, 400, 542, 189
• GCD of 339, 704, 301, 542
• GCD of 406, 206, 601, 418

Given numbers are 822, 360, 842, 543
The greatest common divisor of numbers 822, 360, 842, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 360, 842, 543 is 1.

1. What is the GCD of 822, 360, 842, 543?

GCD of given numbers 822, 360, 842, 543 is 1

2. How to calculate the greatest common divisor of 822, 360, 842, 543?

We can find the highest common divisor of 822, 360, 842, 543 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, 360, 842, 543 i.e 1.

3. How can I use the GCD of 822, 360, 842, 543Calculator?

Out the numbers 822, 360, 842, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.