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 777, 994, 589, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 994, 589, 740 is 1
GCD(777, 994, 589, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 994, 589, 740 is 1
GCD(777, 994, 589, 740) = 1
Given Input numbers are 777, 994, 589, 740
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Greatest Common Divisior
We found the divisors of 777, 994, 589, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 994, 589, 740 is 1.
Therefore, GCD of numbers 777, 994, 589, 740 is 1
Given Input Data is 777, 994, 589, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 589 is 19 x 31
Prime Factorization of 740 is 2 x 2 x 5 x 37
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(777, 994) = 110334
GCD(777, 994) = ( 777 x 994 ) / 110334
GCD(777, 994) = 772338 / 110334
GCD(777, 994) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 589) = 4123
GCD(7, 589) = ( 7 x 589 ) / 4123
GCD(7, 589) = 4123 / 4123
GCD(7, 589) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 777, 994, 589, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 994, 589, 740?
GCD of 777, 994, 589, 740 is 1
2. Where do I get the detailed procedure to find GCD of 777, 994, 589, 740?
You can find a detailed procedure to find GCD of 777, 994, 589, 740 on our page.
3. How to find GCD of 777, 994, 589, 740 on a calculator?
You can find the GCD of 777, 994, 589, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.