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 536, 174, 42, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 174, 42, 469 is 1
GCD(536, 174, 42, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 174, 42, 469 is 1
GCD(536, 174, 42, 469) = 1
Given Input numbers are 536, 174, 42, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 536, 174, 42, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 174, 42, 469 is 1.
Therefore, GCD of numbers 536, 174, 42, 469 is 1
Given Input Data is 536, 174, 42, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 469 is 7 x 67
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(536, 174) = 46632
GCD(536, 174) = ( 536 x 174 ) / 46632
GCD(536, 174) = 93264 / 46632
GCD(536, 174) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 469) = 938
GCD(2, 469) = ( 2 x 469 ) / 938
GCD(2, 469) = 938 / 938
GCD(2, 469) = 1
GCD of 536, 174, 42, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 174, 42, 469?
GCD of 536, 174, 42, 469 is 1
2. Where do I get the detailed procedure to find GCD of 536, 174, 42, 469?
You can find a detailed procedure to find GCD of 536, 174, 42, 469 on our page.
3. How to find GCD of 536, 174, 42, 469 on a calculator?
You can find the GCD of 536, 174, 42, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.