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 155, 538, 60, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 155, 538, 60, 846 is 1
GCD(155, 538, 60, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 155, 538, 60, 846 is 1
GCD(155, 538, 60, 846) = 1
Given Input numbers are 155, 538, 60, 846
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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
Greatest Common Divisior
We found the divisors of 155, 538, 60, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 538, 60, 846 is 1.
Therefore, GCD of numbers 155, 538, 60, 846 is 1
Given Input Data is 155, 538, 60, 846
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 155 is 5 x 31
Prime Factorization of 538 is 2 x 269
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 846 is 2 x 3 x 3 x 47
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(155, 538) = 83390
GCD(155, 538) = ( 155 x 538 ) / 83390
GCD(155, 538) = 83390 / 83390
GCD(155, 538) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 155, 538, 60, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 155, 538, 60, 846?
GCD of 155, 538, 60, 846 is 1
2. Where do I get the detailed procedure to find GCD of 155, 538, 60, 846?
You can find a detailed procedure to find GCD of 155, 538, 60, 846 on our page.
3. How to find GCD of 155, 538, 60, 846 on a calculator?
You can find the GCD of 155, 538, 60, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.