GCD of 828, 822, 410, 308 Calculator

Given Input numbers are 828, 822, 410, 308

In the factoring method, we have to find the divisors of all numbers

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (828, 822, 410, 308) = 2.

Given numbers are 828, 822, 410, 308

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 822 are 2 x 3 x 137

Prime factors of 410 are 2 x 5 x 41

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 828, 822, 410, 308 is 2.

Given numbers are 828, 822, 410, 308

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

Apply this formula for all numbers.

Step1:

LCM(828, 822) = 113436

GCD(828, 822) = ( 828 x 822 ) / 113436

= 828 / 822

= 828

Step2:

LCM(6, 410) = 1230

GCD(6, 410) = ( 6 x 410 ) / 1230

= 6 / 410

= 6

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 828, 822, 410, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 557, 378, 430
• GCD of 549, 990, 945, 445
• GCD of 212, 164, 615, 312
• GCD of 506, 639, 943, 674
• GCD of 560, 494, 387, 563

Given numbers are 828, 822, 410, 308
The greatest common divisor of numbers 828, 822, 410, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 822, 410, 308 is 2.

1. What is the GCD of 828, 822, 410, 308?

GCD of given numbers 828, 822, 410, 308 is 2

2. How to calculate the greatest common divisor of 828, 822, 410, 308?

We can find the highest common divisor of 828, 822, 410, 308 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 828, 822, 410, 308 i.e 2.

3. How can I use the GCD of 828, 822, 410, 308Calculator?

Out the numbers 828, 822, 410, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.