GCD of 308, 822, 572, 678 Calculator

Given Input numbers are 308, 822, 572, 678

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

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

Divisors of 822 :

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

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

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (308, 822, 572, 678) = 2.

Given numbers are 308, 822, 572, 678

The list of prime factors of all numbers are

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 308, 822, 572, 678 is 2.

Given numbers are 308, 822, 572, 678

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

Apply this formula for all numbers.

Step1:

LCM(308, 822) = 126588

GCD(308, 822) = ( 308 x 822 ) / 126588

= 308 / 822

= 308

Step2:

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

= 2 / 572

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 308, 822, 572, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 553, 814, 738
• GCD of 635, 172, 888, 676
• GCD of 644, 562, 125, 307
• GCD of 727, 711, 670, 741
• GCD of 309, 501, 384, 321

Given numbers are 308, 822, 572, 678
The greatest common divisor of numbers 308, 822, 572, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 822, 572, 678 is 2.

1. What is the GCD of 308, 822, 572, 678?

GCD of given numbers 308, 822, 572, 678 is 2

2. How to calculate the greatest common divisor of 308, 822, 572, 678?

We can find the highest common divisor of 308, 822, 572, 678 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 308, 822, 572, 678 i.e 2.

3. How can I use the GCD of 308, 822, 572, 678Calculator?

Out the numbers 308, 822, 572, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.