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, 567, 778, 957 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 567, 778, 957 is 1
GCD(40, 567, 778, 957) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 567, 778, 957 is 1
GCD(40, 567, 778, 957) = 1
Given Input numbers are 40, 567, 778, 957
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 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Greatest Common Divisior
We found the divisors of 40, 567, 778, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 567, 778, 957 is 1.
Therefore, GCD of numbers 40, 567, 778, 957 is 1
Given Input Data is 40, 567, 778, 957
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 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 778 is 2 x 389
Prime Factorization of 957 is 3 x 11 x 29
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, 567) = 22680
GCD(40, 567) = ( 40 x 567 ) / 22680
GCD(40, 567) = 22680 / 22680
GCD(40, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
GCD(1, 957) = 957 / 957
GCD(1, 957) = 1
GCD of 40, 567, 778, 957 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 567, 778, 957?
GCD of 40, 567, 778, 957 is 1
2. Where do I get the detailed procedure to find GCD of 40, 567, 778, 957?
You can find a detailed procedure to find GCD of 40, 567, 778, 957 on our page.
3. How to find GCD of 40, 567, 778, 957 on a calculator?
You can find the GCD of 40, 567, 778, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.