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 172, 502, 70, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 502, 70, 511 is 1
GCD(172, 502, 70, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 502, 70, 511 is 1
GCD(172, 502, 70, 511) = 1
Given Input numbers are 172, 502, 70, 511
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
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 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 172, 502, 70, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 502, 70, 511 is 1.
Therefore, GCD of numbers 172, 502, 70, 511 is 1
Given Input Data is 172, 502, 70, 511
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 502 is 2 x 251
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 511 is 7 x 73
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(172, 502) = 43172
GCD(172, 502) = ( 172 x 502 ) / 43172
GCD(172, 502) = 86344 / 43172
GCD(172, 502) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
GCD(2, 70) = 140 / 70
GCD(2, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 511) = 1022
GCD(2, 511) = ( 2 x 511 ) / 1022
GCD(2, 511) = 1022 / 1022
GCD(2, 511) = 1
GCD of 172, 502, 70, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 502, 70, 511?
GCD of 172, 502, 70, 511 is 1
2. Where do I get the detailed procedure to find GCD of 172, 502, 70, 511?
You can find a detailed procedure to find GCD of 172, 502, 70, 511 on our page.
3. How to find GCD of 172, 502, 70, 511 on a calculator?
You can find the GCD of 172, 502, 70, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.