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 765, 620, 59, 933 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 620, 59, 933 is 1
GCD(765, 620, 59, 933) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 620, 59, 933 is 1
GCD(765, 620, 59, 933) = 1
Given Input numbers are 765, 620, 59, 933
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 765, 620, 59, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 620, 59, 933 is 1.
Therefore, GCD of numbers 765, 620, 59, 933 is 1
Given Input Data is 765, 620, 59, 933
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 59 is 59
Prime Factorization of 933 is 3 x 311
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(765, 620) = 94860
GCD(765, 620) = ( 765 x 620 ) / 94860
GCD(765, 620) = 474300 / 94860
GCD(765, 620) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 59) = 295
GCD(5, 59) = ( 5 x 59 ) / 295
GCD(5, 59) = 295 / 295
GCD(5, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
GCD of 765, 620, 59, 933 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 620, 59, 933?
GCD of 765, 620, 59, 933 is 1
2. Where do I get the detailed procedure to find GCD of 765, 620, 59, 933?
You can find a detailed procedure to find GCD of 765, 620, 59, 933 on our page.
3. How to find GCD of 765, 620, 59, 933 on a calculator?
You can find the GCD of 765, 620, 59, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.