GCD of 759, 312, 13, 852 Calculator

Given Input numbers are 759, 312, 13, 852

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (759, 312, 13, 852) = 1.

Given numbers are 759, 312, 13, 852

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

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

Prime factors of 13 are 13

Prime factors of 852 are 2 x 2 x 3 x 71

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

Given numbers are 759, 312, 13, 852

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

Apply this formula for all numbers.

Step1:

LCM(759, 312) = 78936

GCD(759, 312) = ( 759 x 312 ) / 78936

= 759 / 312

= 759

Step2:

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

= 3 / 13

= 3

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 759, 312, 13, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 911, 87, 420
• GCD of 453, 988, 88, 496
• GCD of 554, 705, 69, 478
• GCD of 686, 144, 95, 733
• GCD of 899, 555, 14, 146

Given numbers are 759, 312, 13, 852
The greatest common divisor of numbers 759, 312, 13, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 312, 13, 852 is 1.

1. What is the GCD of 759, 312, 13, 852?

GCD of given numbers 759, 312, 13, 852 is 1

2. How to calculate the greatest common divisor of 759, 312, 13, 852?

We can find the highest common divisor of 759, 312, 13, 852 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 759, 312, 13, 852 i.e 1.

3. How can I use the GCD of 759, 312, 13, 852Calculator?

Out the numbers 759, 312, 13, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.