GCD of 289, 713, 312, 465 Calculator

Given Input numbers are 289, 713, 312, 465

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

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 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (289, 713, 312, 465) = 1.

Given numbers are 289, 713, 312, 465

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 713 are 23 x 31

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

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 289, 713, 312, 465

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

Apply this formula for all numbers.

Step1:

LCM(289, 713) = 206057

GCD(289, 713) = ( 289 x 713 ) / 206057

= 289 / 713

= 289

Step2:

LCM(1, 312) = 312

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

= 1 / 312

= 1

Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1

So, Greatest Common Divisor of 289, 713, 312, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 404, 755, 423
• GCD of 403, 275, 104, 377
• GCD of 772, 668, 586, 598
• GCD of 847, 150, 897, 909
• GCD of 559, 135, 133, 103

Given numbers are 289, 713, 312, 465
The greatest common divisor of numbers 289, 713, 312, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 713, 312, 465 is 1.

1. What is the GCD of 289, 713, 312, 465?

GCD of given numbers 289, 713, 312, 465 is 1

2. How to calculate the greatest common divisor of 289, 713, 312, 465?

We can find the highest common divisor of 289, 713, 312, 465 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 289, 713, 312, 465 i.e 1.

3. How can I use the GCD of 289, 713, 312, 465Calculator?

Out the numbers 289, 713, 312, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.