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 42, 184, 862, 627 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 184, 862, 627 is 1
GCD(42, 184, 862, 627) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 184, 862, 627 is 1
GCD(42, 184, 862, 627) = 1
Given Input numbers are 42, 184, 862, 627
To find the GCD of numbers using factoring list out all the divisors of each number
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 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Greatest Common Divisior
We found the divisors of 42, 184, 862, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 184, 862, 627 is 1.
Therefore, GCD of numbers 42, 184, 862, 627 is 1
Given Input Data is 42, 184, 862, 627
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 862 is 2 x 431
Prime Factorization of 627 is 3 x 11 x 19
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(42, 184) = 3864
GCD(42, 184) = ( 42 x 184 ) / 3864
GCD(42, 184) = 7728 / 3864
GCD(42, 184) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 862) = 862
GCD(2, 862) = ( 2 x 862 ) / 862
GCD(2, 862) = 1724 / 862
GCD(2, 862) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 627) = 1254
GCD(2, 627) = ( 2 x 627 ) / 1254
GCD(2, 627) = 1254 / 1254
GCD(2, 627) = 1
GCD of 42, 184, 862, 627 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 184, 862, 627?
GCD of 42, 184, 862, 627 is 1
2. Where do I get the detailed procedure to find GCD of 42, 184, 862, 627?
You can find a detailed procedure to find GCD of 42, 184, 862, 627 on our page.
3. How to find GCD of 42, 184, 862, 627 on a calculator?
You can find the GCD of 42, 184, 862, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.