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 71, 737, 944, 590 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 737, 944, 590 is 1
GCD(71, 737, 944, 590) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 737, 944, 590 is 1
GCD(71, 737, 944, 590) = 1
Given Input numbers are 71, 737, 944, 590
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Greatest Common Divisior
We found the divisors of 71, 737, 944, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 737, 944, 590 is 1.
Therefore, GCD of numbers 71, 737, 944, 590 is 1
Given Input Data is 71, 737, 944, 590
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 737 is 11 x 67
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 590 is 2 x 5 x 59
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(71, 737) = 52327
GCD(71, 737) = ( 71 x 737 ) / 52327
GCD(71, 737) = 52327 / 52327
GCD(71, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 590
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 590) = 590
GCD(1, 590) = ( 1 x 590 ) / 590
GCD(1, 590) = 590 / 590
GCD(1, 590) = 1
GCD of 71, 737, 944, 590 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 737, 944, 590?
GCD of 71, 737, 944, 590 is 1
2. Where do I get the detailed procedure to find GCD of 71, 737, 944, 590?
You can find a detailed procedure to find GCD of 71, 737, 944, 590 on our page.
3. How to find GCD of 71, 737, 944, 590 on a calculator?
You can find the GCD of 71, 737, 944, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.