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, 542, 309, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 542, 309, 668 is 1
GCD(753, 542, 309, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 542, 309, 668 is 1
GCD(753, 542, 309, 668) = 1
Given Input numbers are 753, 542, 309, 668
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 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 753, 542, 309, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 542, 309, 668 is 1.
Therefore, GCD of numbers 753, 542, 309, 668 is 1
Given Input Data is 753, 542, 309, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 542 is 2 x 271
Prime Factorization of 309 is 3 x 103
Prime Factorization of 668 is 2 x 2 x 167
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, 542) = 408126
GCD(753, 542) = ( 753 x 542 ) / 408126
GCD(753, 542) = 408126 / 408126
GCD(753, 542) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 753, 542, 309, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 542, 309, 668?
GCD of 753, 542, 309, 668 is 1
2. Where do I get the detailed procedure to find GCD of 753, 542, 309, 668?
You can find a detailed procedure to find GCD of 753, 542, 309, 668 on our page.
3. How to find GCD of 753, 542, 309, 668 on a calculator?
You can find the GCD of 753, 542, 309, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.