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 436, 169, 66, 455 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 169, 66, 455 is 1
GCD(436, 169, 66, 455) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 169, 66, 455 is 1
GCD(436, 169, 66, 455) = 1
Given Input numbers are 436, 169, 66, 455
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
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 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Greatest Common Divisior
We found the divisors of 436, 169, 66, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 169, 66, 455 is 1.
Therefore, GCD of numbers 436, 169, 66, 455 is 1
Given Input Data is 436, 169, 66, 455
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 169 is 13 x 13
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 455 is 5 x 7 x 13
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(436, 169) = 73684
GCD(436, 169) = ( 436 x 169 ) / 73684
GCD(436, 169) = 73684 / 73684
GCD(436, 169) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 455
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 455) = 455
GCD(1, 455) = ( 1 x 455 ) / 455
GCD(1, 455) = 455 / 455
GCD(1, 455) = 1
GCD of 436, 169, 66, 455 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 169, 66, 455?
GCD of 436, 169, 66, 455 is 1
2. Where do I get the detailed procedure to find GCD of 436, 169, 66, 455?
You can find a detailed procedure to find GCD of 436, 169, 66, 455 on our page.
3. How to find GCD of 436, 169, 66, 455 on a calculator?
You can find the GCD of 436, 169, 66, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.