GCD of 637, 413, 45, 140 Calculator

Given Input numbers are 637, 413, 45, 140

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

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 637, 413, 45, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 413, 45, 140 is 1.

Therefore, GCD of numbers 637, 413, 45, 140 is 1

Given Input Data is 637, 413, 45, 140

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 413 is 7 x 59

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(637, 413) = 37583

GCD(637, 413) = ( 637 x 413 ) / 37583

GCD(637, 413) = 263081 / 37583

GCD(637, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 45

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

LCM(7, 45) = 315

GCD(7, 45) = ( 7 x 45 ) / 315

GCD(7, 45) = 315 / 315

GCD(7, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 637, 413, 45, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 442, 32, 452
• GCD of 913, 231, 45, 309
• GCD of 273, 109, 36, 584
• GCD of 796, 727, 92, 135
• GCD of 140, 262, 97, 411

1. What is the GCD of 637, 413, 45, 140?

GCD of 637, 413, 45, 140 is 1

2. Where do I get the detailed procedure to find GCD of 637, 413, 45, 140?

You can find a detailed procedure to find GCD of 637, 413, 45, 140 on our page.

3. How to find GCD of 637, 413, 45, 140 on a calculator?

You can find the GCD of 637, 413, 45, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.