GCD of 137, 471, 56, 100 Calculator

Given Input numbers are 137, 471, 56, 100

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 137, 471, 56, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 471, 56, 100 is 1.

Therefore, GCD of numbers 137, 471, 56, 100 is 1

Given Input Data is 137, 471, 56, 100

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

Prime Factorization of 137 is 137

Prime Factorization of 471 is 3 x 157

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(137, 471) = 64527

GCD(137, 471) = ( 137 x 471 ) / 64527

GCD(137, 471) = 64527 / 64527

GCD(137, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 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 137, 471, 56, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 330, 12, 239
• GCD of 190, 592, 43, 916
• GCD of 611, 542, 54, 913
• GCD of 603, 643, 49, 528
• GCD of 686, 482, 27, 607

1. What is the GCD of 137, 471, 56, 100?

GCD of 137, 471, 56, 100 is 1

2. Where do I get the detailed procedure to find GCD of 137, 471, 56, 100?

You can find a detailed procedure to find GCD of 137, 471, 56, 100 on our page.

3. How to find GCD of 137, 471, 56, 100 on a calculator?

You can find the GCD of 137, 471, 56, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.