GCD of 970, 387, 100, 116 Calculator

Given Input numbers are 970, 387, 100, 116

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 387

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

1, 3, 9, 43, 129, 387

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 970, 387, 100, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 387, 100, 116 is 1.

Therefore, GCD of numbers 970, 387, 100, 116 is 1

Given Input Data is 970, 387, 100, 116

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 116 is 2 x 2 x 29

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(970, 387) = 375390

GCD(970, 387) = ( 970 x 387 ) / 375390

GCD(970, 387) = 375390 / 375390

GCD(970, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 970, 387, 100, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 170, 987, 129
• GCD of 556, 381, 908, 123
• GCD of 677, 970, 893, 581
• GCD of 814, 121, 680, 917
• GCD of 629, 110, 322, 830

1. What is the GCD of 970, 387, 100, 116?

GCD of 970, 387, 100, 116 is 1

2. Where do I get the detailed procedure to find GCD of 970, 387, 100, 116?

You can find a detailed procedure to find GCD of 970, 387, 100, 116 on our page.

3. How to find GCD of 970, 387, 100, 116 on a calculator?

You can find the GCD of 970, 387, 100, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.