GCD of 161, 686, 66, 420 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 161, 686, 66, 420 i.e. 1 largest integer that divides all the numbers equally.

GCD of 161, 686, 66, 420 is 1

GCD(161, 686, 66, 420) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 161, 686, 66, 420 is 1

GCD(161, 686, 66, 420) = 1

GCD of 161,686,66,420 Calculator

GCDof 161,686,66,420 is 1

Given Input numbers are 161, 686, 66, 420

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 686

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

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 161, 686, 66, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 686, 66, 420 is 1.

Therefore, GCD of numbers 161, 686, 66, 420 is 1

Finding GCD of 161, 686, 66, 420 using Prime Factorization

Given Input Data is 161, 686, 66, 420

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

Prime Factorization of 161 is 7 x 23

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 161, 686, 66, 420 using LCM Formula

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, 686) = 15778

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

GCD(161, 686) = 110446 / 15778

GCD(161, 686) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 66

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

LCM(7, 66) = 462

GCD(7, 66) = ( 7 x 66 ) / 462

GCD(7, 66) = 462 / 462

GCD(7, 66) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 161, 686, 66, 420 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 161, 686, 66, 420

1. What is the GCD of 161, 686, 66, 420?

GCD of 161, 686, 66, 420 is 1


2. Where do I get the detailed procedure to find GCD of 161, 686, 66, 420?

You can find a detailed procedure to find GCD of 161, 686, 66, 420 on our page.


3. How to find GCD of 161, 686, 66, 420 on a calculator?

You can find the GCD of 161, 686, 66, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.