GCD of 205, 722, 705, 396 Calculator

Given Input numbers are 205, 722, 705, 396

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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

GCD of numbers is the greatest common divisor

So, the GCD (205, 722, 705, 396) = 1.

Given numbers are 205, 722, 705, 396

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 722 are 2 x 19 x 19

Prime factors of 705 are 3 x 5 x 47

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

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

Given numbers are 205, 722, 705, 396

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

Apply this formula for all numbers.

Step1:

LCM(205, 722) = 148010

GCD(205, 722) = ( 205 x 722 ) / 148010

= 205 / 722

= 205

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 205, 722, 705, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 299, 923, 267
• GCD of 548, 430, 708, 748
• GCD of 414, 290, 359, 852
• GCD of 715, 418, 869, 411
• GCD of 396, 995, 549, 554

Given numbers are 205, 722, 705, 396
The greatest common divisor of numbers 205, 722, 705, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 722, 705, 396 is 1.

1. What is the GCD of 205, 722, 705, 396?

GCD of given numbers 205, 722, 705, 396 is 1

2. How to calculate the greatest common divisor of 205, 722, 705, 396?

We can find the highest common divisor of 205, 722, 705, 396 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, 722, 705, 396 i.e 1.

3. How can I use the GCD of 205, 722, 705, 396Calculator?

Out the numbers 205, 722, 705, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.