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 709, 939, 45, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 709, 939, 45, 762 is 1
GCD(709, 939, 45, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 709, 939, 45, 762 is 1
GCD(709, 939, 45, 762) = 1
Given Input numbers are 709, 939, 45, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 709, 939, 45, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 939, 45, 762 is 1.
Therefore, GCD of numbers 709, 939, 45, 762 is 1
Given Input Data is 709, 939, 45, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 709 is 709
Prime Factorization of 939 is 3 x 313
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 762 is 2 x 3 x 127
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(709, 939) = 665751
GCD(709, 939) = ( 709 x 939 ) / 665751
GCD(709, 939) = 665751 / 665751
GCD(709, 939) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 709, 939, 45, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 709, 939, 45, 762?
GCD of 709, 939, 45, 762 is 1
2. Where do I get the detailed procedure to find GCD of 709, 939, 45, 762?
You can find a detailed procedure to find GCD of 709, 939, 45, 762 on our page.
3. How to find GCD of 709, 939, 45, 762 on a calculator?
You can find the GCD of 709, 939, 45, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.