GCD of 725, 729, 314, 312 Calculator

Given Input numbers are 725, 729, 314, 312

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

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 729 :

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

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

GCD of numbers is the greatest common divisor

So, the GCD (725, 729, 314, 312) = 1.

Given numbers are 725, 729, 314, 312

The list of prime factors of all numbers are

Prime factors of 725 are 5 x 5 x 29

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

Prime factors of 314 are 2 x 157

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

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

Given numbers are 725, 729, 314, 312

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

Apply this formula for all numbers.

Step1:

LCM(725, 729) = 528525

GCD(725, 729) = ( 725 x 729 ) / 528525

= 725 / 729

= 725

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 725, 729, 314, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 127, 982, 824
• GCD of 506, 684, 706, 981
• GCD of 373, 614, 426, 627
• GCD of 223, 299, 395, 851
• GCD of 699, 408, 610, 624

Given numbers are 725, 729, 314, 312
The greatest common divisor of numbers 725, 729, 314, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 729, 314, 312 is 1.

1. What is the GCD of 725, 729, 314, 312?

GCD of given numbers 725, 729, 314, 312 is 1

2. How to calculate the greatest common divisor of 725, 729, 314, 312?

We can find the highest common divisor of 725, 729, 314, 312 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 725, 729, 314, 312 i.e 1.

3. How can I use the GCD of 725, 729, 314, 312Calculator?

Out the numbers 725, 729, 314, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.