GCD of 312, 729, 670, 570 Calculator

Given Input numbers are 312, 729, 670, 570

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

GCD of numbers is the greatest common divisor

So, the GCD (312, 729, 670, 570) = 1.

Given numbers are 312, 729, 670, 570

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 670 are 2 x 5 x 67

Prime factors of 570 are 2 x 3 x 5 x 19

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

Given numbers are 312, 729, 670, 570

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

Apply this formula for all numbers.

Step1:

LCM(312, 729) = 75816

GCD(312, 729) = ( 312 x 729 ) / 75816

= 312 / 729

= 312

Step2:

LCM(3, 670) = 2010

GCD(3, 670) = ( 3 x 670 ) / 2010

= 3 / 670

= 3

Step3:

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

= 1 / 570

= 1

So, Greatest Common Divisor of 312, 729, 670, 570 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 849, 220, 613
• GCD of 205, 620, 885, 710
• GCD of 858, 227, 292, 307
• GCD of 172, 198, 366, 296
• GCD of 533, 193, 557, 546

Given numbers are 312, 729, 670, 570
The greatest common divisor of numbers 312, 729, 670, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 729, 670, 570 is 1.

1. What is the GCD of 312, 729, 670, 570?

GCD of given numbers 312, 729, 670, 570 is 1

2. How to calculate the greatest common divisor of 312, 729, 670, 570?

We can find the highest common divisor of 312, 729, 670, 570 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 312, 729, 670, 570 i.e 1.

3. How can I use the GCD of 312, 729, 670, 570Calculator?

Out the numbers 312, 729, 670, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.