GCD of 547, 424, 758, 100 Calculator

Given Input numbers are 547, 424, 758, 100

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 547, 424, 758, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 424, 758, 100 is 1.

Therefore, GCD of numbers 547, 424, 758, 100 is 1

Given Input Data is 547, 424, 758, 100

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

Prime Factorization of 547 is 547

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 758 is 2 x 379

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(547, 424) = 231928

GCD(547, 424) = ( 547 x 424 ) / 231928

GCD(547, 424) = 231928 / 231928

GCD(547, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 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 547, 424, 758, 100 is 1

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1. What is the GCD of 547, 424, 758, 100?

GCD of 547, 424, 758, 100 is 1

2. Where do I get the detailed procedure to find GCD of 547, 424, 758, 100?

You can find a detailed procedure to find GCD of 547, 424, 758, 100 on our page.

3. How to find GCD of 547, 424, 758, 100 on a calculator?

You can find the GCD of 547, 424, 758, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.