GCD of 694, 100, 109, 547 Calculator

Given Input numbers are 694, 100, 109, 547

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 547

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

1, 547

Greatest Common Divisior

We found the divisors of 694, 100, 109, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 100, 109, 547 is 1.

Therefore, GCD of numbers 694, 100, 109, 547 is 1

Given Input Data is 694, 100, 109, 547

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

Prime Factorization of 694 is 2 x 347

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

Prime Factorization of 109 is 109

Prime Factorization of 547 is 547

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(694, 100) = 34700

GCD(694, 100) = ( 694 x 100 ) / 34700

GCD(694, 100) = 69400 / 34700

GCD(694, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

GCD of 694, 100, 109, 547 is 1

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1. What is the GCD of 694, 100, 109, 547?

GCD of 694, 100, 109, 547 is 1

2. Where do I get the detailed procedure to find GCD of 694, 100, 109, 547?

You can find a detailed procedure to find GCD of 694, 100, 109, 547 on our page.

3. How to find GCD of 694, 100, 109, 547 on a calculator?

You can find the GCD of 694, 100, 109, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.