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 468, 741, 724, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 741, 724, 553 is 1
GCD(468, 741, 724, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 741, 724, 553 is 1
GCD(468, 741, 724, 553) = 1
Given Input numbers are 468, 741, 724, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 468, 741, 724, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 741, 724, 553 is 1.
Therefore, GCD of numbers 468, 741, 724, 553 is 1
Given Input Data is 468, 741, 724, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 553 is 7 x 79
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(468, 741) = 8892
GCD(468, 741) = ( 468 x 741 ) / 8892
GCD(468, 741) = 346788 / 8892
GCD(468, 741) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 724) = 28236
GCD(39, 724) = ( 39 x 724 ) / 28236
GCD(39, 724) = 28236 / 28236
GCD(39, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 468, 741, 724, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 741, 724, 553?
GCD of 468, 741, 724, 553 is 1
2. Where do I get the detailed procedure to find GCD of 468, 741, 724, 553?
You can find a detailed procedure to find GCD of 468, 741, 724, 553 on our page.
3. How to find GCD of 468, 741, 724, 553 on a calculator?
You can find the GCD of 468, 741, 724, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.