GCD of 396, 682, 924, 338 Calculator

Given Input numbers are 396, 682, 924, 338

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (396, 682, 924, 338) = 2.

Given numbers are 396, 682, 924, 338

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 682 are 2 x 11 x 31

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 396, 682, 924, 338 is 2.

Given numbers are 396, 682, 924, 338

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

Apply this formula for all numbers.

Step1:

LCM(396, 682) = 12276

GCD(396, 682) = ( 396 x 682 ) / 12276

= 396 / 682

= 396

Step2:

LCM(22, 924) = 924

GCD(22, 924) = ( 22 x 924 ) / 924

= 22 / 924

= 22

Step3:

LCM(22, 338) = 3718

GCD(22, 338) = ( 22 x 338 ) / 3718

= 22 / 338

= 22

So, Greatest Common Divisor of 396, 682, 924, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 740, 606, 920
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Given numbers are 396, 682, 924, 338
The greatest common divisor of numbers 396, 682, 924, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 682, 924, 338 is 2.

1. What is the GCD of 396, 682, 924, 338?

GCD of given numbers 396, 682, 924, 338 is 2

2. How to calculate the greatest common divisor of 396, 682, 924, 338?

We can find the highest common divisor of 396, 682, 924, 338 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 396, 682, 924, 338 i.e 2.

3. How can I use the GCD of 396, 682, 924, 338Calculator?

Out the numbers 396, 682, 924, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.