GCD of 375, 684, 966, 997 Calculator

Given Input numbers are 375, 684, 966, 997

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 375, 684, 966, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 684, 966, 997 is 1.

Therefore, GCD of numbers 375, 684, 966, 997 is 1

Given Input Data is 375, 684, 966, 997

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 997 is 997

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(375, 684) = 85500

GCD(375, 684) = ( 375 x 684 ) / 85500

GCD(375, 684) = 256500 / 85500

GCD(375, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 997

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

LCM(3, 997) = 2991

GCD(3, 997) = ( 3 x 997 ) / 2991

GCD(3, 997) = 2991 / 2991

GCD(3, 997) = 1

GCD of 375, 684, 966, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 224, 728, 357
• GCD of 655, 686, 631, 898
• GCD of 473, 311, 482, 975
• GCD of 527, 258, 233, 857
• GCD of 337, 339, 333, 520

1. What is the GCD of 375, 684, 966, 997?

GCD of 375, 684, 966, 997 is 1

2. Where do I get the detailed procedure to find GCD of 375, 684, 966, 997?

You can find a detailed procedure to find GCD of 375, 684, 966, 997 on our page.

3. How to find GCD of 375, 684, 966, 997 on a calculator?

You can find the GCD of 375, 684, 966, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.