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 753, 206, 325, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 206, 325, 764 is 1
GCD(753, 206, 325, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 206, 325, 764 is 1
GCD(753, 206, 325, 764) = 1
Given Input numbers are 753, 206, 325, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
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 753, 206, 325, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 206, 325, 764 is 1.
Therefore, GCD of numbers 753, 206, 325, 764 is 1
Given Input Data is 753, 206, 325, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 206 is 2 x 103
Prime Factorization of 325 is 5 x 5 x 13
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(753, 206) = 155118
GCD(753, 206) = ( 753 x 206 ) / 155118
GCD(753, 206) = 155118 / 155118
GCD(753, 206) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 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 753, 206, 325, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 206, 325, 764?
GCD of 753, 206, 325, 764 is 1
2. Where do I get the detailed procedure to find GCD of 753, 206, 325, 764?
You can find a detailed procedure to find GCD of 753, 206, 325, 764 on our page.
3. How to find GCD of 753, 206, 325, 764 on a calculator?
You can find the GCD of 753, 206, 325, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.