GCD of 822, 354, 558, 279 Calculator

Given Input numbers are 822, 354, 558, 279

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 354 :

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

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (822, 354, 558, 279) = 3.

Given numbers are 822, 354, 558, 279

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 354 are 2 x 3 x 59

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 822, 354, 558, 279 is 3.

Given numbers are 822, 354, 558, 279

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

Apply this formula for all numbers.

Step1:

LCM(822, 354) = 48498

GCD(822, 354) = ( 822 x 354 ) / 48498

= 822 / 354

= 822

Step2:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

Step3:

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

= 6 / 279

= 6

So, Greatest Common Divisor of 822, 354, 558, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 168, 672, 317
• GCD of 277, 649, 556, 659
• GCD of 255, 695, 629, 791
• GCD of 351, 250, 238, 853
• GCD of 398, 442, 812, 687

Given numbers are 822, 354, 558, 279
The greatest common divisor of numbers 822, 354, 558, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 354, 558, 279 is 3.

1. What is the GCD of 822, 354, 558, 279?

GCD of given numbers 822, 354, 558, 279 is 3

2. How to calculate the greatest common divisor of 822, 354, 558, 279?

We can find the highest common divisor of 822, 354, 558, 279 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, 354, 558, 279 i.e 3.

3. How can I use the GCD of 822, 354, 558, 279Calculator?

Out the numbers 822, 354, 558, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.