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 40, 957, 772, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 957, 772, 175 is 1
GCD(40, 957, 772, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 957, 772, 175 is 1
GCD(40, 957, 772, 175) = 1
Given Input numbers are 40, 957, 772, 175
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
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 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 40, 957, 772, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 957, 772, 175 is 1.
Therefore, GCD of numbers 40, 957, 772, 175 is 1
Given Input Data is 40, 957, 772, 175
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 175 is 5 x 5 x 7
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(40, 957) = 38280
GCD(40, 957) = ( 40 x 957 ) / 38280
GCD(40, 957) = 38280 / 38280
GCD(40, 957) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
GCD of 40, 957, 772, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 957, 772, 175?
GCD of 40, 957, 772, 175 is 1
2. Where do I get the detailed procedure to find GCD of 40, 957, 772, 175?
You can find a detailed procedure to find GCD of 40, 957, 772, 175 on our page.
3. How to find GCD of 40, 957, 772, 175 on a calculator?
You can find the GCD of 40, 957, 772, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.