GCD of 138, 101, 233, 957 Calculator

Given Input numbers are 138, 101, 233, 957

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 101

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

1, 101

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 957

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

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

Greatest Common Divisior

We found the divisors of 138, 101, 233, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 101, 233, 957 is 1.

Therefore, GCD of numbers 138, 101, 233, 957 is 1

Given Input Data is 138, 101, 233, 957

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 101 is 101

Prime Factorization of 233 is 233

Prime Factorization of 957 is 3 x 11 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(138, 101) = 13938

GCD(138, 101) = ( 138 x 101 ) / 13938

GCD(138, 101) = 13938 / 13938

GCD(138, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 233

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

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

GCD(1, 233) = 233 / 233

GCD(1, 233) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 138, 101, 233, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 349, 457, 343
• GCD of 153, 698, 774, 538
• GCD of 622, 602, 596, 256
• GCD of 670, 967, 765, 756
• GCD of 461, 306, 934, 218

1. What is the GCD of 138, 101, 233, 957?

GCD of 138, 101, 233, 957 is 1

2. Where do I get the detailed procedure to find GCD of 138, 101, 233, 957?

You can find a detailed procedure to find GCD of 138, 101, 233, 957 on our page.

3. How to find GCD of 138, 101, 233, 957 on a calculator?

You can find the GCD of 138, 101, 233, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.