GCD of 83, 957, 989, 100 Calculator

Given Input numbers are 83, 957, 989, 100

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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

Greatest Common Divisior

We found the divisors of 83, 957, 989, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 957, 989, 100 is 1.

Therefore, GCD of numbers 83, 957, 989, 100 is 1

Given Input Data is 83, 957, 989, 100

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

Prime Factorization of 83 is 83

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 989 is 23 x 43

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

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(83, 957) = 79431

GCD(83, 957) = ( 83 x 957 ) / 79431

GCD(83, 957) = 79431 / 79431

GCD(83, 957) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

Step3:

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

GCD of 83, 957, 989, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 584, 408, 312
• GCD of 25, 209, 682, 950
• GCD of 80, 619, 386, 757
• GCD of 91, 808, 971, 678
• GCD of 67, 233, 831, 142

1. What is the GCD of 83, 957, 989, 100?

GCD of 83, 957, 989, 100 is 1

2. Where do I get the detailed procedure to find GCD of 83, 957, 989, 100?

You can find a detailed procedure to find GCD of 83, 957, 989, 100 on our page.

3. How to find GCD of 83, 957, 989, 100 on a calculator?

You can find the GCD of 83, 957, 989, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.