GCD of 822, 774, 464, 724 Calculator

Given Input numbers are 822, 774, 464, 724

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (822, 774, 464, 724) = 2.

Given numbers are 822, 774, 464, 724

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 822, 774, 464, 724 is 2.

Given numbers are 822, 774, 464, 724

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

Apply this formula for all numbers.

Step1:

LCM(822, 774) = 106038

GCD(822, 774) = ( 822 x 774 ) / 106038

= 822 / 774

= 822

Step2:

LCM(6, 464) = 1392

GCD(6, 464) = ( 6 x 464 ) / 1392

= 6 / 464

= 6

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 822, 774, 464, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 827, 578, 546
• GCD of 591, 455, 832, 524
• GCD of 982, 154, 398, 404
• GCD of 407, 235, 721, 333
• GCD of 377, 558, 393, 534

Given numbers are 822, 774, 464, 724
The greatest common divisor of numbers 822, 774, 464, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 774, 464, 724 is 2.

1. What is the GCD of 822, 774, 464, 724?

GCD of given numbers 822, 774, 464, 724 is 2

2. How to calculate the greatest common divisor of 822, 774, 464, 724?

We can find the highest common divisor of 822, 774, 464, 724 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, 774, 464, 724 i.e 2.

3. How can I use the GCD of 822, 774, 464, 724Calculator?

Out the numbers 822, 774, 464, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.