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 numbers 161, 686, 66, 420 is 1
GCD(161, 686, 66, 420) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.