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 398, 574, 957, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 398, 574, 957, 634 is 1
GCD(398, 574, 957, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 398, 574, 957, 634 is 1
GCD(398, 574, 957, 634) = 1
Given Input numbers are 398, 574, 957, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
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 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 398, 574, 957, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 574, 957, 634 is 1.
Therefore, GCD of numbers 398, 574, 957, 634 is 1
Given Input Data is 398, 574, 957, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 398 is 2 x 199
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 634 is 2 x 317
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(398, 574) = 114226
GCD(398, 574) = ( 398 x 574 ) / 114226
GCD(398, 574) = 228452 / 114226
GCD(398, 574) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 957) = 1914
GCD(2, 957) = ( 2 x 957 ) / 1914
GCD(2, 957) = 1914 / 1914
GCD(2, 957) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 398, 574, 957, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 398, 574, 957, 634?
GCD of 398, 574, 957, 634 is 1
2. Where do I get the detailed procedure to find GCD of 398, 574, 957, 634?
You can find a detailed procedure to find GCD of 398, 574, 957, 634 on our page.
3. How to find GCD of 398, 574, 957, 634 on a calculator?
You can find the GCD of 398, 574, 957, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.