GCD of 637, 549, 40, 674 Calculator

Given Input numbers are 637, 549, 40, 674

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 637, 549, 40, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 549, 40, 674 is 1.

Therefore, GCD of numbers 637, 549, 40, 674 is 1

Given Input Data is 637, 549, 40, 674

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 549 is 3 x 3 x 61

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 674 is 2 x 337

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, 549) = 349713

GCD(637, 549) = ( 637 x 549 ) / 349713

GCD(637, 549) = 349713 / 349713

GCD(637, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 637, 549, 40, 674 is 1

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1. What is the GCD of 637, 549, 40, 674?

GCD of 637, 549, 40, 674 is 1

2. Where do I get the detailed procedure to find GCD of 637, 549, 40, 674?

You can find a detailed procedure to find GCD of 637, 549, 40, 674 on our page.

3. How to find GCD of 637, 549, 40, 674 on a calculator?

You can find the GCD of 637, 549, 40, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.