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 957, 772, 73, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 772, 73, 450 is 1
GCD(957, 772, 73, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 772, 73, 450 is 1
GCD(957, 772, 73, 450) = 1
Given Input numbers are 957, 772, 73, 450
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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
Greatest Common Divisior
We found the divisors of 957, 772, 73, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 772, 73, 450 is 1.
Therefore, GCD of numbers 957, 772, 73, 450 is 1
Given Input Data is 957, 772, 73, 450
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 73 is 73
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
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(957, 772) = 738804
GCD(957, 772) = ( 957 x 772 ) / 738804
GCD(957, 772) = 738804 / 738804
GCD(957, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
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
GCD of 957, 772, 73, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 772, 73, 450?
GCD of 957, 772, 73, 450 is 1
2. Where do I get the detailed procedure to find GCD of 957, 772, 73, 450?
You can find a detailed procedure to find GCD of 957, 772, 73, 450 on our page.
3. How to find GCD of 957, 772, 73, 450 on a calculator?
You can find the GCD of 957, 772, 73, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.