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 957, 971, 854, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 971, 854, 383 is 1
GCD(957, 971, 854, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 971, 854, 383 is 1
GCD(957, 971, 854, 383) = 1
Given Input numbers are 957, 971, 854, 383
To find the GCD of numbers using factoring list out all the divisors of each number
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 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 957, 971, 854, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 971, 854, 383 is 1.
Therefore, GCD of numbers 957, 971, 854, 383 is 1
Given Input Data is 957, 971, 854, 383
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 971 is 971
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 383 is 383
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(957, 971) = 929247
GCD(957, 971) = ( 957 x 971 ) / 929247
GCD(957, 971) = 929247 / 929247
GCD(957, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 957, 971, 854, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 971, 854, 383?
GCD of 957, 971, 854, 383 is 1
2. Where do I get the detailed procedure to find GCD of 957, 971, 854, 383?
You can find a detailed procedure to find GCD of 957, 971, 854, 383 on our page.
3. How to find GCD of 957, 971, 854, 383 on a calculator?
You can find the GCD of 957, 971, 854, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.