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 846, 142, 408, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 846, 142, 408, 555 is 1
GCD(846, 142, 408, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 846, 142, 408, 555 is 1
GCD(846, 142, 408, 555) = 1
Given Input numbers are 846, 142, 408, 555
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 846, 142, 408, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 142, 408, 555 is 1.
Therefore, GCD of numbers 846, 142, 408, 555 is 1
Given Input Data is 846, 142, 408, 555
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 142 is 2 x 71
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 555 is 3 x 5 x 37
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(846, 142) = 60066
GCD(846, 142) = ( 846 x 142 ) / 60066
GCD(846, 142) = 120132 / 60066
GCD(846, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 408) = 408
GCD(2, 408) = ( 2 x 408 ) / 408
GCD(2, 408) = 816 / 408
GCD(2, 408) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 555) = 1110
GCD(2, 555) = ( 2 x 555 ) / 1110
GCD(2, 555) = 1110 / 1110
GCD(2, 555) = 1
GCD of 846, 142, 408, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 846, 142, 408, 555?
GCD of 846, 142, 408, 555 is 1
2. Where do I get the detailed procedure to find GCD of 846, 142, 408, 555?
You can find a detailed procedure to find GCD of 846, 142, 408, 555 on our page.
3. How to find GCD of 846, 142, 408, 555 on a calculator?
You can find the GCD of 846, 142, 408, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.