GCD of 205, 365, 705 Calculator

Given Input numbers are 205, 365, 705

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 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (205, 365, 705) = 5.

Given numbers are 205, 365, 705

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 365 are 5 x 73

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 205, 365, 705 is 5.

Given numbers are 205, 365, 705

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

Apply this formula for all numbers.

Step1:

LCM(205, 365) = 14965

GCD(205, 365) = ( 205 x 365 ) / 14965

= 205 / 365

= 205

Step2:

LCM(5, 705) = 705

GCD(5, 705) = ( 5 x 705 ) / 705

= 5 / 705

= 5

So, Greatest Common Divisor of 205, 365, 705 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 755, 550
• GCD of 748, 111, 333
• GCD of 390, 638, 965
• GCD of 150, 768, 977
• GCD of 387, 324, 144

Given numbers are 205, 365, 705
The greatest common divisor of numbers 205, 365, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 365, 705 is 5.

1. What is the GCD of 205, 365, 705?

GCD of given numbers 205, 365, 705 is 5

2. How to calculate the greatest common divisor of 205, 365, 705?

We can find the highest common divisor of 205, 365, 705 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, 365, 705 i.e 5.

3. How can I use the GCD of 205, 365, 705Calculator?

Out the numbers 205, 365, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.