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 769, 261, 32, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 769, 261, 32, 764 is 1
GCD(769, 261, 32, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 769, 261, 32, 764 is 1
GCD(769, 261, 32, 764) = 1
Given Input numbers are 769, 261, 32, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 769, 261, 32, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 261, 32, 764 is 1.
Therefore, GCD of numbers 769, 261, 32, 764 is 1
Given Input Data is 769, 261, 32, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 769 is 769
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 764 is 2 x 2 x 191
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(769, 261) = 200709
GCD(769, 261) = ( 769 x 261 ) / 200709
GCD(769, 261) = 200709 / 200709
GCD(769, 261) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 769, 261, 32, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 769, 261, 32, 764?
GCD of 769, 261, 32, 764 is 1
2. Where do I get the detailed procedure to find GCD of 769, 261, 32, 764?
You can find a detailed procedure to find GCD of 769, 261, 32, 764 on our page.
3. How to find GCD of 769, 261, 32, 764 on a calculator?
You can find the GCD of 769, 261, 32, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.