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 152, 610, 87, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 610, 87, 231 is 1
GCD(152, 610, 87, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 610, 87, 231 is 1
GCD(152, 610, 87, 231) = 1
Given Input numbers are 152, 610, 87, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 152, 610, 87, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 610, 87, 231 is 1.
Therefore, GCD of numbers 152, 610, 87, 231 is 1
Given Input Data is 152, 610, 87, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 87 is 3 x 29
Prime Factorization of 231 is 3 x 7 x 11
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(152, 610) = 46360
GCD(152, 610) = ( 152 x 610 ) / 46360
GCD(152, 610) = 92720 / 46360
GCD(152, 610) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 152, 610, 87, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 610, 87, 231?
GCD of 152, 610, 87, 231 is 1
2. Where do I get the detailed procedure to find GCD of 152, 610, 87, 231?
You can find a detailed procedure to find GCD of 152, 610, 87, 231 on our page.
3. How to find GCD of 152, 610, 87, 231 on a calculator?
You can find the GCD of 152, 610, 87, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.