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 33, 724, 142, 944 i.e. 1 largest integer that divides all the numbers equally.
GCD of 33, 724, 142, 944 is 1
GCD(33, 724, 142, 944) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 33, 724, 142, 944 is 1
GCD(33, 724, 142, 944) = 1
Given Input numbers are 33, 724, 142, 944
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Greatest Common Divisior
We found the divisors of 33, 724, 142, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 33, 724, 142, 944 is 1.
Therefore, GCD of numbers 33, 724, 142, 944 is 1
Given Input Data is 33, 724, 142, 944
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 33 is 3 x 11
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 142 is 2 x 71
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
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(33, 724) = 23892
GCD(33, 724) = ( 33 x 724 ) / 23892
GCD(33, 724) = 23892 / 23892
GCD(33, 724) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
GCD of 33, 724, 142, 944 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 33, 724, 142, 944?
GCD of 33, 724, 142, 944 is 1
2. Where do I get the detailed procedure to find GCD of 33, 724, 142, 944?
You can find a detailed procedure to find GCD of 33, 724, 142, 944 on our page.
3. How to find GCD of 33, 724, 142, 944 on a calculator?
You can find the GCD of 33, 724, 142, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.