GCD of 309, 360, 961, 646 Calculator

Given Input numbers are 309, 360, 961, 646

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (309, 360, 961, 646) = 1.

Given numbers are 309, 360, 961, 646

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 961 are 31 x 31

Prime factors of 646 are 2 x 17 x 19

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

Given numbers are 309, 360, 961, 646

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

Apply this formula for all numbers.

Step1:

LCM(309, 360) = 37080

GCD(309, 360) = ( 309 x 360 ) / 37080

= 309 / 360

= 309

Step2:

LCM(3, 961) = 2883

GCD(3, 961) = ( 3 x 961 ) / 2883

= 3 / 961

= 3

Step3:

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

= 1 / 646

= 1

So, Greatest Common Divisor of 309, 360, 961, 646 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 697, 962, 286
• GCD of 345, 171, 701, 238
• GCD of 718, 485, 743, 484
• GCD of 154, 855, 609, 663
• GCD of 320, 444, 753, 495

Given numbers are 309, 360, 961, 646
The greatest common divisor of numbers 309, 360, 961, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 360, 961, 646 is 1.

1. What is the GCD of 309, 360, 961, 646?

GCD of given numbers 309, 360, 961, 646 is 1

2. How to calculate the greatest common divisor of 309, 360, 961, 646?

We can find the highest common divisor of 309, 360, 961, 646 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, 360, 961, 646 i.e 1.

3. How can I use the GCD of 309, 360, 961, 646Calculator?

Out the numbers 309, 360, 961, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.