GCD of 342, 358, 116, 822 Calculator

Given Input numbers are 342, 358, 116, 822

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 822 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (342, 358, 116, 822) = 2.

Given numbers are 342, 358, 116, 822

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 358 are 2 x 179

Prime factors of 116 are 2 x 2 x 29

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 342, 358, 116, 822 is 2.

Given numbers are 342, 358, 116, 822

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

Apply this formula for all numbers.

Step1:

LCM(342, 358) = 61218

GCD(342, 358) = ( 342 x 358 ) / 61218

= 342 / 358

= 342

Step2:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 342, 358, 116, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 150, 822, 894
• GCD of 786, 316, 207, 714
• GCD of 516, 357, 745, 147
• GCD of 242, 240, 705, 588
• GCD of 751, 555, 886, 590

Given numbers are 342, 358, 116, 822
The greatest common divisor of numbers 342, 358, 116, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 358, 116, 822 is 2.

1. What is the GCD of 342, 358, 116, 822?

GCD of given numbers 342, 358, 116, 822 is 2

2. How to calculate the greatest common divisor of 342, 358, 116, 822?

We can find the highest common divisor of 342, 358, 116, 822 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 342, 358, 116, 822 i.e 2.

3. How can I use the GCD of 342, 358, 116, 822Calculator?

Out the numbers 342, 358, 116, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.