GCD of 343, 644, 338, 204 Calculator

Given Input numbers are 343, 644, 338, 204

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (343, 644, 338, 204) = 1.

Given numbers are 343, 644, 338, 204

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 338 are 2 x 13 x 13

Prime factors of 204 are 2 x 2 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 343, 644, 338, 204

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

Apply this formula for all numbers.

Step1:

LCM(343, 644) = 31556

GCD(343, 644) = ( 343 x 644 ) / 31556

= 343 / 644

= 343

Step2:

LCM(7, 338) = 2366

GCD(7, 338) = ( 7 x 338 ) / 2366

= 7 / 338

= 7

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 343, 644, 338, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 616, 826, 527
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• GCD of 129, 339, 901, 199
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Given numbers are 343, 644, 338, 204
The greatest common divisor of numbers 343, 644, 338, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 644, 338, 204 is 1.

1. What is the GCD of 343, 644, 338, 204?

GCD of given numbers 343, 644, 338, 204 is 1

2. How to calculate the greatest common divisor of 343, 644, 338, 204?

We can find the highest common divisor of 343, 644, 338, 204 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 343, 644, 338, 204 i.e 1.

3. How can I use the GCD of 343, 644, 338, 204Calculator?

Out the numbers 343, 644, 338, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.