GCD of 822, 612, 54, 693 Calculator

Given Input numbers are 822, 612, 54, 693

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (822, 612, 54, 693) = 3.

Given numbers are 822, 612, 54, 693

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 822, 612, 54, 693 is 3.

Given numbers are 822, 612, 54, 693

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

Apply this formula for all numbers.

Step1:

LCM(822, 612) = 83844

GCD(822, 612) = ( 822 x 612 ) / 83844

= 822 / 612

= 822

Step2:

LCM(6, 54) = 54

GCD(6, 54) = ( 6 x 54 ) / 54

= 6 / 54

= 6

Step3:

LCM(6, 693) = 1386

GCD(6, 693) = ( 6 x 693 ) / 1386

= 6 / 693

= 6

So, Greatest Common Divisor of 822, 612, 54, 693 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 633, 71, 644
• GCD of 859, 221, 49, 817
• GCD of 170, 579, 27, 177
• GCD of 682, 453, 91, 561
• GCD of 417, 913, 57, 583

Given numbers are 822, 612, 54, 693
The greatest common divisor of numbers 822, 612, 54, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 612, 54, 693 is 3.

1. What is the GCD of 822, 612, 54, 693?

GCD of given numbers 822, 612, 54, 693 is 3

2. How to calculate the greatest common divisor of 822, 612, 54, 693?

We can find the highest common divisor of 822, 612, 54, 693 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, 612, 54, 693 i.e 3.

3. How can I use the GCD of 822, 612, 54, 693Calculator?

Out the numbers 822, 612, 54, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.