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, 701, 554, 659 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 701, 554, 659 is 1
GCD(765, 701, 554, 659) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 701, 554, 659 is 1
GCD(765, 701, 554, 659) = 1
Given Input numbers are 765, 701, 554, 659
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 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Greatest Common Divisior
We found the divisors of 765, 701, 554, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 701, 554, 659 is 1.
Therefore, GCD of numbers 765, 701, 554, 659 is 1
Given Input Data is 765, 701, 554, 659
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 701 is 701
Prime Factorization of 554 is 2 x 277
Prime Factorization of 659 is 659
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, 701) = 536265
GCD(765, 701) = ( 765 x 701 ) / 536265
GCD(765, 701) = 536265 / 536265
GCD(765, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 554) = 554
GCD(1, 554) = ( 1 x 554 ) / 554
GCD(1, 554) = 554 / 554
GCD(1, 554) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 659) = 659
GCD(1, 659) = ( 1 x 659 ) / 659
GCD(1, 659) = 659 / 659
GCD(1, 659) = 1
GCD of 765, 701, 554, 659 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 701, 554, 659?
GCD of 765, 701, 554, 659 is 1
2. Where do I get the detailed procedure to find GCD of 765, 701, 554, 659?
You can find a detailed procedure to find GCD of 765, 701, 554, 659 on our page.
3. How to find GCD of 765, 701, 554, 659 on a calculator?
You can find the GCD of 765, 701, 554, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.