GCD of 338, 368, 584, 854 Calculator

Given Input numbers are 338, 368, 584, 854

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (338, 368, 584, 854) = 2.

Given numbers are 338, 368, 584, 854

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 338, 368, 584, 854 is 2.

Given numbers are 338, 368, 584, 854

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

Apply this formula for all numbers.

Step1:

LCM(338, 368) = 62192

GCD(338, 368) = ( 338 x 368 ) / 62192

= 338 / 368

= 338

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

So, Greatest Common Divisor of 338, 368, 584, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 253, 406, 639
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• GCD of 790, 948, 789, 877

Given numbers are 338, 368, 584, 854
The greatest common divisor of numbers 338, 368, 584, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 368, 584, 854 is 2.

1. What is the GCD of 338, 368, 584, 854?

GCD of given numbers 338, 368, 584, 854 is 2

2. How to calculate the greatest common divisor of 338, 368, 584, 854?

We can find the highest common divisor of 338, 368, 584, 854 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 338, 368, 584, 854 i.e 2.

3. How can I use the GCD of 338, 368, 584, 854Calculator?

Out the numbers 338, 368, 584, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.