GCD of 100, 589, 49, 754 Calculator

Given Input numbers are 100, 589, 49, 754

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

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 100, 589, 49, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 589, 49, 754 is 1.

Therefore, GCD of numbers 100, 589, 49, 754 is 1

Given Input Data is 100, 589, 49, 754

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 589 is 19 x 31

Prime Factorization of 49 is 7 x 7

Prime Factorization of 754 is 2 x 13 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(100, 589) = 58900

GCD(100, 589) = ( 100 x 589 ) / 58900

GCD(100, 589) = 58900 / 58900

GCD(100, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 100, 589, 49, 754 is 1

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• GCD of 239, 677, 12, 533
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1. What is the GCD of 100, 589, 49, 754?

GCD of 100, 589, 49, 754 is 1

2. Where do I get the detailed procedure to find GCD of 100, 589, 49, 754?

You can find a detailed procedure to find GCD of 100, 589, 49, 754 on our page.

3. How to find GCD of 100, 589, 49, 754 on a calculator?

You can find the GCD of 100, 589, 49, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.