GCD of 822, 688, 812, 680 Calculator

Given Input numbers are 822, 688, 812, 680

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (822, 688, 812, 680) = 2.

Given numbers are 822, 688, 812, 680

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 822, 688, 812, 680 is 2.

Given numbers are 822, 688, 812, 680

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

Apply this formula for all numbers.

Step1:

LCM(822, 688) = 282768

GCD(822, 688) = ( 822 x 688 ) / 282768

= 822 / 688

= 822

Step2:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 822, 688, 812, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 667, 933, 878
• GCD of 118, 613, 635, 994
• GCD of 771, 611, 727, 615
• GCD of 324, 583, 389, 324
• GCD of 867, 803, 399, 677

Given numbers are 822, 688, 812, 680
The greatest common divisor of numbers 822, 688, 812, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 688, 812, 680 is 2.

1. What is the GCD of 822, 688, 812, 680?

GCD of given numbers 822, 688, 812, 680 is 2

2. How to calculate the greatest common divisor of 822, 688, 812, 680?

We can find the highest common divisor of 822, 688, 812, 680 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, 688, 812, 680 i.e 2.

3. How can I use the GCD of 822, 688, 812, 680Calculator?

Out the numbers 822, 688, 812, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.