GCD of 101, 645, 58, 187 Calculator

Given Input numbers are 101, 645, 58, 187

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

Divisors of 101

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

1, 101

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 101, 645, 58, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 645, 58, 187 is 1.

Therefore, GCD of numbers 101, 645, 58, 187 is 1

Given Input Data is 101, 645, 58, 187

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

Prime Factorization of 101 is 101

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 58 is 2 x 29

Prime Factorization of 187 is 11 x 17

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(101, 645) = 65145

GCD(101, 645) = ( 101 x 645 ) / 65145

GCD(101, 645) = 65145 / 65145

GCD(101, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 101, 645, 58, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 745, 87, 423
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• GCD of 774, 426, 10, 953

1. What is the GCD of 101, 645, 58, 187?

GCD of 101, 645, 58, 187 is 1

2. Where do I get the detailed procedure to find GCD of 101, 645, 58, 187?

You can find a detailed procedure to find GCD of 101, 645, 58, 187 on our page.

3. How to find GCD of 101, 645, 58, 187 on a calculator?

You can find the GCD of 101, 645, 58, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.