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 423, 170, 70, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 170, 70, 505 is 1
GCD(423, 170, 70, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 170, 70, 505 is 1
GCD(423, 170, 70, 505) = 1
Given Input numbers are 423, 170, 70, 505
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 423, 170, 70, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 170, 70, 505 is 1.
Therefore, GCD of numbers 423, 170, 70, 505 is 1
Given Input Data is 423, 170, 70, 505
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 505 is 5 x 101
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(423, 170) = 71910
GCD(423, 170) = ( 423 x 170 ) / 71910
GCD(423, 170) = 71910 / 71910
GCD(423, 170) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
GCD(1, 505) = 505 / 505
GCD(1, 505) = 1
GCD of 423, 170, 70, 505 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 170, 70, 505?
GCD of 423, 170, 70, 505 is 1
2. Where do I get the detailed procedure to find GCD of 423, 170, 70, 505?
You can find a detailed procedure to find GCD of 423, 170, 70, 505 on our page.
3. How to find GCD of 423, 170, 70, 505 on a calculator?
You can find the GCD of 423, 170, 70, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.