GCD of 161, 681, 780, 109 Calculator

Given Input numbers are 161, 681, 780, 109

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 109

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

1, 109

Greatest Common Divisior

We found the divisors of 161, 681, 780, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 681, 780, 109 is 1.

Therefore, GCD of numbers 161, 681, 780, 109 is 1

Given Input Data is 161, 681, 780, 109

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 681 is 3 x 227

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 109 is 109

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(161, 681) = 109641

GCD(161, 681) = ( 161 x 681 ) / 109641

GCD(161, 681) = 109641 / 109641

GCD(161, 681) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 161, 681, 780, 109 is 1

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1. What is the GCD of 161, 681, 780, 109?

GCD of 161, 681, 780, 109 is 1

2. Where do I get the detailed procedure to find GCD of 161, 681, 780, 109?

You can find a detailed procedure to find GCD of 161, 681, 780, 109 on our page.

3. How to find GCD of 161, 681, 780, 109 on a calculator?

You can find the GCD of 161, 681, 780, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.