GCD of 966, 910, 387, 101 Calculator

Given Input numbers are 966, 910, 387, 101

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

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 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 966, 910, 387, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 910, 387, 101 is 1.

Therefore, GCD of numbers 966, 910, 387, 101 is 1

Given Input Data is 966, 910, 387, 101

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

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 101 is 101

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(966, 910) = 62790

GCD(966, 910) = ( 966 x 910 ) / 62790

GCD(966, 910) = 879060 / 62790

GCD(966, 910) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 387

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

LCM(14, 387) = 5418

GCD(14, 387) = ( 14 x 387 ) / 5418

GCD(14, 387) = 5418 / 5418

GCD(14, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 966, 910, 387, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 782, 898, 821
• GCD of 908, 672, 589, 558
• GCD of 803, 703, 121, 764
• GCD of 413, 110, 421, 325
• GCD of 113, 378, 656, 459

1. What is the GCD of 966, 910, 387, 101?

GCD of 966, 910, 387, 101 is 1

2. Where do I get the detailed procedure to find GCD of 966, 910, 387, 101?

You can find a detailed procedure to find GCD of 966, 910, 387, 101 on our page.

3. How to find GCD of 966, 910, 387, 101 on a calculator?

You can find the GCD of 966, 910, 387, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.