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 955, 575, 944, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 955, 575, 944, 434 is 1
GCD(955, 575, 944, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 955, 575, 944, 434 is 1
GCD(955, 575, 944, 434) = 1
Given Input numbers are 955, 575, 944, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
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
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 955, 575, 944, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 955, 575, 944, 434 is 1.
Therefore, GCD of numbers 955, 575, 944, 434 is 1
Given Input Data is 955, 575, 944, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 955 is 5 x 191
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 434 is 2 x 7 x 31
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(955, 575) = 109825
GCD(955, 575) = ( 955 x 575 ) / 109825
GCD(955, 575) = 549125 / 109825
GCD(955, 575) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 944) = 4720
GCD(5, 944) = ( 5 x 944 ) / 4720
GCD(5, 944) = 4720 / 4720
GCD(5, 944) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 955, 575, 944, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 955, 575, 944, 434?
GCD of 955, 575, 944, 434 is 1
2. Where do I get the detailed procedure to find GCD of 955, 575, 944, 434?
You can find a detailed procedure to find GCD of 955, 575, 944, 434 on our page.
3. How to find GCD of 955, 575, 944, 434 on a calculator?
You can find the GCD of 955, 575, 944, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.