GCD of 205, 235, 364 Calculator

Given Input numbers are 205, 235, 364

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

Divisors of 205 :

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

1, 5, 41, 205

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

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

GCD of numbers is the greatest common divisor

So, the GCD (205, 235, 364) = 1.

Given numbers are 205, 235, 364

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 235 are 5 x 47

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

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

Given numbers are 205, 235, 364

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

Apply this formula for all numbers.

Step1:

LCM(205, 235) = 9635

GCD(205, 235) = ( 205 x 235 ) / 9635

= 205 / 235

= 205

Step2:

LCM(5, 364) = 1820

GCD(5, 364) = ( 5 x 364 ) / 1820

= 5 / 364

= 5

So, Greatest Common Divisor of 205, 235, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 713, 491
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Given numbers are 205, 235, 364
The greatest common divisor of numbers 205, 235, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 235, 364 is 1.

1. What is the GCD of 205, 235, 364?

GCD of given numbers 205, 235, 364 is 1

2. How to calculate the greatest common divisor of 205, 235, 364?

We can find the highest common divisor of 205, 235, 364 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 205, 235, 364 i.e 1.

3. How can I use the GCD of 205, 235, 364Calculator?

Out the numbers 205, 235, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.