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 187, 612, 87, 618 i.e. 1 largest integer that divides all the numbers equally.
GCD of 187, 612, 87, 618 is 1
GCD(187, 612, 87, 618) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 187, 612, 87, 618 is 1
GCD(187, 612, 87, 618) = 1
Given Input numbers are 187, 612, 87, 618
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Greatest Common Divisior
We found the divisors of 187, 612, 87, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 612, 87, 618 is 1.
Therefore, GCD of numbers 187, 612, 87, 618 is 1
Given Input Data is 187, 612, 87, 618
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 187 is 11 x 17
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 87 is 3 x 29
Prime Factorization of 618 is 2 x 3 x 103
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(187, 612) = 6732
GCD(187, 612) = ( 187 x 612 ) / 6732
GCD(187, 612) = 114444 / 6732
GCD(187, 612) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 87) = 1479
GCD(17, 87) = ( 17 x 87 ) / 1479
GCD(17, 87) = 1479 / 1479
GCD(17, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 618
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 618) = 618
GCD(1, 618) = ( 1 x 618 ) / 618
GCD(1, 618) = 618 / 618
GCD(1, 618) = 1
GCD of 187, 612, 87, 618 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 187, 612, 87, 618?
GCD of 187, 612, 87, 618 is 1
2. Where do I get the detailed procedure to find GCD of 187, 612, 87, 618?
You can find a detailed procedure to find GCD of 187, 612, 87, 618 on our page.
3. How to find GCD of 187, 612, 87, 618 on a calculator?
You can find the GCD of 187, 612, 87, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.