GCD of 822, 169, 756, 821 Calculator

Given Input numbers are 822, 169, 756, 821

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 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (822, 169, 756, 821) = 1.

Given numbers are 822, 169, 756, 821

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 169 are 13 x 13

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 821 are 821

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

Given numbers are 822, 169, 756, 821

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

Apply this formula for all numbers.

Step1:

LCM(822, 169) = 138918

GCD(822, 169) = ( 822 x 169 ) / 138918

= 822 / 169

= 822

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 822, 169, 756, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 723, 251, 729
• GCD of 296, 615, 932, 453
• GCD of 793, 972, 325, 261
• GCD of 404, 112, 973, 310
• GCD of 906, 954, 417, 126

Given numbers are 822, 169, 756, 821
The greatest common divisor of numbers 822, 169, 756, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 169, 756, 821 is 1.

1. What is the GCD of 822, 169, 756, 821?

GCD of given numbers 822, 169, 756, 821 is 1

2. How to calculate the greatest common divisor of 822, 169, 756, 821?

We can find the highest common divisor of 822, 169, 756, 821 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, 169, 756, 821 i.e 1.

3. How can I use the GCD of 822, 169, 756, 821Calculator?

Out the numbers 822, 169, 756, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.