GCD of 364, 205, 341, 224 Calculator

Given Input numbers are 364, 205, 341, 224

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (364, 205, 341, 224) = 1.

Given numbers are 364, 205, 341, 224

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 205 are 5 x 41

Prime factors of 341 are 11 x 31

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 364, 205, 341, 224

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

Apply this formula for all numbers.

Step1:

LCM(364, 205) = 74620

GCD(364, 205) = ( 364 x 205 ) / 74620

= 364 / 205

= 364

Step2:

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

= 1 / 341

= 1

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 364, 205, 341, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 989, 101, 187
• GCD of 672, 158, 781, 483
• GCD of 479, 814, 793, 684
• GCD of 649, 999, 119, 432
• GCD of 386, 783, 966, 795

Given numbers are 364, 205, 341, 224
The greatest common divisor of numbers 364, 205, 341, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 205, 341, 224 is 1.

1. What is the GCD of 364, 205, 341, 224?

GCD of given numbers 364, 205, 341, 224 is 1

2. How to calculate the greatest common divisor of 364, 205, 341, 224?

We can find the highest common divisor of 364, 205, 341, 224 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 364, 205, 341, 224 i.e 1.

3. How can I use the GCD of 364, 205, 341, 224Calculator?

Out the numbers 364, 205, 341, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.