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 420, 467, 63, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 467, 63, 166 is 1
GCD(420, 467, 63, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 467, 63, 166 is 1
GCD(420, 467, 63, 166) = 1
Given Input numbers are 420, 467, 63, 166
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 420, 467, 63, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 467, 63, 166 is 1.
Therefore, GCD of numbers 420, 467, 63, 166 is 1
Given Input Data is 420, 467, 63, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 467 is 467
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 166 is 2 x 83
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(420, 467) = 196140
GCD(420, 467) = ( 420 x 467 ) / 196140
GCD(420, 467) = 196140 / 196140
GCD(420, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
GCD of 420, 467, 63, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 467, 63, 166?
GCD of 420, 467, 63, 166 is 1
2. Where do I get the detailed procedure to find GCD of 420, 467, 63, 166?
You can find a detailed procedure to find GCD of 420, 467, 63, 166 on our page.
3. How to find GCD of 420, 467, 63, 166 on a calculator?
You can find the GCD of 420, 467, 63, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.