GCD of 300, 682, 966, 363 Calculator

Given Input numbers are 300, 682, 966, 363

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (300, 682, 966, 363) = 1.

Given numbers are 300, 682, 966, 363

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 682 are 2 x 11 x 31

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 363 are 3 x 11 x 11

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

Given numbers are 300, 682, 966, 363

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

Apply this formula for all numbers.

Step1:

LCM(300, 682) = 102300

GCD(300, 682) = ( 300 x 682 ) / 102300

= 300 / 682

= 300

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2

So, Greatest Common Divisor of 300, 682, 966, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 561, 601, 461
• GCD of 608, 327, 474, 585
• GCD of 914, 354, 917, 609
• GCD of 379, 927, 139, 971
• GCD of 944, 976, 550, 607

Given numbers are 300, 682, 966, 363
The greatest common divisor of numbers 300, 682, 966, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 682, 966, 363 is 1.

1. What is the GCD of 300, 682, 966, 363?

GCD of given numbers 300, 682, 966, 363 is 1

2. How to calculate the greatest common divisor of 300, 682, 966, 363?

We can find the highest common divisor of 300, 682, 966, 363 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 300, 682, 966, 363 i.e 1.

3. How can I use the GCD of 300, 682, 966, 363Calculator?

Out the numbers 300, 682, 966, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.