GCD of 686, 161, 181, 972 Calculator

Given Input numbers are 686, 161, 181, 972

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 161

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

1, 7, 23, 161

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 686, 161, 181, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 161, 181, 972 is 1.

Therefore, GCD of numbers 686, 161, 181, 972 is 1

Given Input Data is 686, 161, 181, 972

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 161 is 7 x 23

Prime Factorization of 181 is 181

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(686, 161) = 15778

GCD(686, 161) = ( 686 x 161 ) / 15778

GCD(686, 161) = 110446 / 15778

GCD(686, 161) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 181

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

LCM(7, 181) = 1267

GCD(7, 181) = ( 7 x 181 ) / 1267

GCD(7, 181) = 1267 / 1267

GCD(7, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 686, 161, 181, 972 is 1

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1. What is the GCD of 686, 161, 181, 972?

GCD of 686, 161, 181, 972 is 1

2. Where do I get the detailed procedure to find GCD of 686, 161, 181, 972?

You can find a detailed procedure to find GCD of 686, 161, 181, 972 on our page.

3. How to find GCD of 686, 161, 181, 972 on a calculator?

You can find the GCD of 686, 161, 181, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.