GCD of 309, 611, 460, 964 Calculator

Given Input numbers are 309, 611, 460, 964

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 611 :

The positive integer divisors of 611 that completely divides 611 are.

1, 13, 47, 611

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (309, 611, 460, 964) = 1.

Given numbers are 309, 611, 460, 964

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 611 are 13 x 47

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 964 are 2 x 2 x 241

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

Given numbers are 309, 611, 460, 964

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

Apply this formula for all numbers.

Step1:

LCM(309, 611) = 188799

GCD(309, 611) = ( 309 x 611 ) / 188799

= 309 / 611

= 309

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1

So, Greatest Common Divisor of 309, 611, 460, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 605, 401, 872
• GCD of 220, 113, 502, 593
• GCD of 404, 406, 550, 745
• GCD of 674, 608, 703, 640
• GCD of 297, 576, 415, 116

Given numbers are 309, 611, 460, 964
The greatest common divisor of numbers 309, 611, 460, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 611, 460, 964 is 1.

1. What is the GCD of 309, 611, 460, 964?

GCD of given numbers 309, 611, 460, 964 is 1

2. How to calculate the greatest common divisor of 309, 611, 460, 964?

We can find the highest common divisor of 309, 611, 460, 964 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 309, 611, 460, 964 i.e 1.

3. How can I use the GCD of 309, 611, 460, 964Calculator?

Out the numbers 309, 611, 460, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.