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 733, 426, 450, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 733, 426, 450, 142 is 1
GCD(733, 426, 450, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 733, 426, 450, 142 is 1
GCD(733, 426, 450, 142) = 1
Given Input numbers are 733, 426, 450, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 733, 426, 450, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 426, 450, 142 is 1.
Therefore, GCD of numbers 733, 426, 450, 142 is 1
Given Input Data is 733, 426, 450, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 733 is 733
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 142 is 2 x 71
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(733, 426) = 312258
GCD(733, 426) = ( 733 x 426 ) / 312258
GCD(733, 426) = 312258 / 312258
GCD(733, 426) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
Step3:
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
GCD of 733, 426, 450, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 733, 426, 450, 142?
GCD of 733, 426, 450, 142 is 1
2. Where do I get the detailed procedure to find GCD of 733, 426, 450, 142?
You can find a detailed procedure to find GCD of 733, 426, 450, 142 on our page.
3. How to find GCD of 733, 426, 450, 142 on a calculator?
You can find the GCD of 733, 426, 450, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.