GCD of 100, 957, 39, 849 Calculator

Given Input numbers are 100, 957, 39, 849

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

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 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 100, 957, 39, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 957, 39, 849 is 1.

Therefore, GCD of numbers 100, 957, 39, 849 is 1

Given Input Data is 100, 957, 39, 849

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

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 39 is 3 x 13

Prime Factorization of 849 is 3 x 283

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(100, 957) = 95700

GCD(100, 957) = ( 100 x 957 ) / 95700

GCD(100, 957) = 95700 / 95700

GCD(100, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 100, 957, 39, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 869, 58, 904
• GCD of 787, 317, 35, 137
• GCD of 816, 408, 37, 648
• GCD of 467, 282, 85, 949
• GCD of 228, 660, 44, 147

1. What is the GCD of 100, 957, 39, 849?

GCD of 100, 957, 39, 849 is 1

2. Where do I get the detailed procedure to find GCD of 100, 957, 39, 849?

You can find a detailed procedure to find GCD of 100, 957, 39, 849 on our page.

3. How to find GCD of 100, 957, 39, 849 on a calculator?

You can find the GCD of 100, 957, 39, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.