GCD of 705, 568, 72 Calculator

Given Input numbers are 705, 568, 72

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

Divisors of 705 :

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

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

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

GCD of numbers is the greatest common divisor

So, the GCD (705, 568, 72) = 1.

Given numbers are 705, 568, 72

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

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

Given numbers are 705, 568, 72

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

Apply this formula for all numbers.

Step1:

LCM(705, 568) = 400440

GCD(705, 568) = ( 705 x 568 ) / 400440

= 705 / 568

= 705

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

So, Greatest Common Divisor of 705, 568, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 665, 36
• GCD of 198, 716, 30
• GCD of 873, 514, 17
• GCD of 490, 629, 47
• GCD of 970, 128, 75

Given numbers are 705, 568, 72
The greatest common divisor of numbers 705, 568, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 568, 72 is 1.

1. What is the GCD of 705, 568, 72?

GCD of given numbers 705, 568, 72 is 1

2. How to calculate the greatest common divisor of 705, 568, 72?

We can find the highest common divisor of 705, 568, 72 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 705, 568, 72 i.e 1.

3. How can I use the GCD of 705, 568, 72Calculator?

Out the numbers 705, 568, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.