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 365, 410, 957, 944 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 410, 957, 944 is 1
GCD(365, 410, 957, 944) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 410, 957, 944 is 1
GCD(365, 410, 957, 944) = 1
Given Input numbers are 365, 410, 957, 944
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
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 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 365, 410, 957, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 410, 957, 944 is 1.
Therefore, GCD of numbers 365, 410, 957, 944 is 1
Given Input Data is 365, 410, 957, 944
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 957 is 3 x 11 x 29
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(365, 410) = 29930
GCD(365, 410) = ( 365 x 410 ) / 29930
GCD(365, 410) = 149650 / 29930
GCD(365, 410) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 957) = 4785
GCD(5, 957) = ( 5 x 957 ) / 4785
GCD(5, 957) = 4785 / 4785
GCD(5, 957) = 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 365, 410, 957, 944 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 410, 957, 944?
GCD of 365, 410, 957, 944 is 1
2. Where do I get the detailed procedure to find GCD of 365, 410, 957, 944?
You can find a detailed procedure to find GCD of 365, 410, 957, 944 on our page.
3. How to find GCD of 365, 410, 957, 944 on a calculator?
You can find the GCD of 365, 410, 957, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.