GCD of 109, 609, 785, 554 Calculator

Given Input numbers are 109, 609, 785, 554

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

Divisors of 109

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

1, 109

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 109, 609, 785, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 609, 785, 554 is 1.

Therefore, GCD of numbers 109, 609, 785, 554 is 1

Given Input Data is 109, 609, 785, 554

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

Prime Factorization of 109 is 109

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 785 is 5 x 157

Prime Factorization of 554 is 2 x 277

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(109, 609) = 66381

GCD(109, 609) = ( 109 x 609 ) / 66381

GCD(109, 609) = 66381 / 66381

GCD(109, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 109, 609, 785, 554 is 1

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• GCD of 700, 379, 956, 777
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1. What is the GCD of 109, 609, 785, 554?

GCD of 109, 609, 785, 554 is 1

2. Where do I get the detailed procedure to find GCD of 109, 609, 785, 554?

You can find a detailed procedure to find GCD of 109, 609, 785, 554 on our page.

3. How to find GCD of 109, 609, 785, 554 on a calculator?

You can find the GCD of 109, 609, 785, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.