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 142, 302, 804, 571 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 302, 804, 571 is 1
GCD(142, 302, 804, 571) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 302, 804, 571 is 1
GCD(142, 302, 804, 571) = 1
Given Input numbers are 142, 302, 804, 571
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Greatest Common Divisior
We found the divisors of 142, 302, 804, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 302, 804, 571 is 1.
Therefore, GCD of numbers 142, 302, 804, 571 is 1
Given Input Data is 142, 302, 804, 571
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 302 is 2 x 151
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 571 is 571
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(142, 302) = 21442
GCD(142, 302) = ( 142 x 302 ) / 21442
GCD(142, 302) = 42884 / 21442
GCD(142, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 804) = 804
GCD(2, 804) = ( 2 x 804 ) / 804
GCD(2, 804) = 1608 / 804
GCD(2, 804) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 571) = 1142
GCD(2, 571) = ( 2 x 571 ) / 1142
GCD(2, 571) = 1142 / 1142
GCD(2, 571) = 1
GCD of 142, 302, 804, 571 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 302, 804, 571?
GCD of 142, 302, 804, 571 is 1
2. Where do I get the detailed procedure to find GCD of 142, 302, 804, 571?
You can find a detailed procedure to find GCD of 142, 302, 804, 571 on our page.
3. How to find GCD of 142, 302, 804, 571 on a calculator?
You can find the GCD of 142, 302, 804, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.