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 175, 820, 233, 542 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 820, 233, 542 is 1
GCD(175, 820, 233, 542) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 820, 233, 542 is 1
GCD(175, 820, 233, 542) = 1
Given Input numbers are 175, 820, 233, 542
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Greatest Common Divisior
We found the divisors of 175, 820, 233, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 820, 233, 542 is 1.
Therefore, GCD of numbers 175, 820, 233, 542 is 1
Given Input Data is 175, 820, 233, 542
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 233 is 233
Prime Factorization of 542 is 2 x 271
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(175, 820) = 28700
GCD(175, 820) = ( 175 x 820 ) / 28700
GCD(175, 820) = 143500 / 28700
GCD(175, 820) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 233
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 233) = 1165
GCD(5, 233) = ( 5 x 233 ) / 1165
GCD(5, 233) = 1165 / 1165
GCD(5, 233) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 542
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
GCD(1, 542) = 542 / 542
GCD(1, 542) = 1
GCD of 175, 820, 233, 542 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 820, 233, 542?
GCD of 175, 820, 233, 542 is 1
2. Where do I get the detailed procedure to find GCD of 175, 820, 233, 542?
You can find a detailed procedure to find GCD of 175, 820, 233, 542 on our page.
3. How to find GCD of 175, 820, 233, 542 on a calculator?
You can find the GCD of 175, 820, 233, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.