GCD of 822, 784, 916, 354 Calculator

Given Input numbers are 822, 784, 916, 354

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (822, 784, 916, 354) = 2.

Given numbers are 822, 784, 916, 354

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 916 are 2 x 2 x 229

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 822, 784, 916, 354 is 2.

Given numbers are 822, 784, 916, 354

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

Apply this formula for all numbers.

Step1:

LCM(822, 784) = 322224

GCD(822, 784) = ( 822 x 784 ) / 322224

= 822 / 784

= 822

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 822, 784, 916, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 185, 751, 477
• GCD of 488, 534, 939, 940
• GCD of 816, 281, 727, 359
• GCD of 285, 366, 192, 534
• GCD of 399, 331, 432, 175

Given numbers are 822, 784, 916, 354
The greatest common divisor of numbers 822, 784, 916, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 784, 916, 354 is 2.

1. What is the GCD of 822, 784, 916, 354?

GCD of given numbers 822, 784, 916, 354 is 2

2. How to calculate the greatest common divisor of 822, 784, 916, 354?

We can find the highest common divisor of 822, 784, 916, 354 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, 784, 916, 354 i.e 2.

3. How can I use the GCD of 822, 784, 916, 354Calculator?

Out the numbers 822, 784, 916, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.