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 454, 588, 12, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 454, 588, 12, 765 is 1
GCD(454, 588, 12, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 454, 588, 12, 765 is 1
GCD(454, 588, 12, 765) = 1
Given Input numbers are 454, 588, 12, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
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
Greatest Common Divisior
We found the divisors of 454, 588, 12, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 588, 12, 765 is 1.
Therefore, GCD of numbers 454, 588, 12, 765 is 1
Given Input Data is 454, 588, 12, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 454 is 2 x 227
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(454, 588) = 133476
GCD(454, 588) = ( 454 x 588 ) / 133476
GCD(454, 588) = 266952 / 133476
GCD(454, 588) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 765) = 1530
GCD(2, 765) = ( 2 x 765 ) / 1530
GCD(2, 765) = 1530 / 1530
GCD(2, 765) = 1
GCD of 454, 588, 12, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 454, 588, 12, 765?
GCD of 454, 588, 12, 765 is 1
2. Where do I get the detailed procedure to find GCD of 454, 588, 12, 765?
You can find a detailed procedure to find GCD of 454, 588, 12, 765 on our page.
3. How to find GCD of 454, 588, 12, 765 on a calculator?
You can find the GCD of 454, 588, 12, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.