GCD of 676, 822, 256, 884 Calculator

Given Input numbers are 676, 822, 256, 884

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 822 :

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

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (676, 822, 256, 884) = 2.

Given numbers are 676, 822, 256, 884

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 822 are 2 x 3 x 137

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 676, 822, 256, 884 is 2.

Given numbers are 676, 822, 256, 884

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

Apply this formula for all numbers.

Step1:

LCM(676, 822) = 277836

GCD(676, 822) = ( 676 x 822 ) / 277836

= 676 / 822

= 676

Step2:

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

= 2 / 256

= 2

Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 676, 822, 256, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 308, 100, 201
• GCD of 417, 166, 850, 381
• GCD of 559, 910, 410, 986
• GCD of 570, 688, 570, 927
• GCD of 233, 325, 829, 491

Given numbers are 676, 822, 256, 884
The greatest common divisor of numbers 676, 822, 256, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 822, 256, 884 is 2.

1. What is the GCD of 676, 822, 256, 884?

GCD of given numbers 676, 822, 256, 884 is 2

2. How to calculate the greatest common divisor of 676, 822, 256, 884?

We can find the highest common divisor of 676, 822, 256, 884 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 676, 822, 256, 884 i.e 2.

3. How can I use the GCD of 676, 822, 256, 884Calculator?

Out the numbers 676, 822, 256, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.