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 577, 860, 184, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 577, 860, 184, 142 is 1
GCD(577, 860, 184, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 577, 860, 184, 142 is 1
GCD(577, 860, 184, 142) = 1
Given Input numbers are 577, 860, 184, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
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 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 577, 860, 184, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 860, 184, 142 is 1.
Therefore, GCD of numbers 577, 860, 184, 142 is 1
Given Input Data is 577, 860, 184, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 577 is 577
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 142 is 2 x 71
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(577, 860) = 496220
GCD(577, 860) = ( 577 x 860 ) / 496220
GCD(577, 860) = 496220 / 496220
GCD(577, 860) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 577, 860, 184, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 577, 860, 184, 142?
GCD of 577, 860, 184, 142 is 1
2. Where do I get the detailed procedure to find GCD of 577, 860, 184, 142?
You can find a detailed procedure to find GCD of 577, 860, 184, 142 on our page.
3. How to find GCD of 577, 860, 184, 142 on a calculator?
You can find the GCD of 577, 860, 184, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.