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, 452, 80, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 452, 80, 654 is 1
GCD(753, 452, 80, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 452, 80, 654 is 1
GCD(753, 452, 80, 654) = 1
Given Input numbers are 753, 452, 80, 654
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 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 753, 452, 80, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 452, 80, 654 is 1.
Therefore, GCD of numbers 753, 452, 80, 654 is 1
Given Input Data is 753, 452, 80, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 654 is 2 x 3 x 109
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, 452) = 340356
GCD(753, 452) = ( 753 x 452 ) / 340356
GCD(753, 452) = 340356 / 340356
GCD(753, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 753, 452, 80, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 452, 80, 654?
GCD of 753, 452, 80, 654 is 1
2. Where do I get the detailed procedure to find GCD of 753, 452, 80, 654?
You can find a detailed procedure to find GCD of 753, 452, 80, 654 on our page.
3. How to find GCD of 753, 452, 80, 654 on a calculator?
You can find the GCD of 753, 452, 80, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.