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 539, 370, 301, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 539, 370, 301, 772 is 1
GCD(539, 370, 301, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 539, 370, 301, 772 is 1
GCD(539, 370, 301, 772) = 1
Given Input numbers are 539, 370, 301, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 539, 370, 301, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 539, 370, 301, 772 is 1.
Therefore, GCD of numbers 539, 370, 301, 772 is 1
Given Input Data is 539, 370, 301, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 301 is 7 x 43
Prime Factorization of 772 is 2 x 2 x 193
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(539, 370) = 199430
GCD(539, 370) = ( 539 x 370 ) / 199430
GCD(539, 370) = 199430 / 199430
GCD(539, 370) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 539, 370, 301, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 539, 370, 301, 772?
GCD of 539, 370, 301, 772 is 1
2. Where do I get the detailed procedure to find GCD of 539, 370, 301, 772?
You can find a detailed procedure to find GCD of 539, 370, 301, 772 on our page.
3. How to find GCD of 539, 370, 301, 772 on a calculator?
You can find the GCD of 539, 370, 301, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.