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 971, 417, 832, 368 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 417, 832, 368 is 1
GCD(971, 417, 832, 368) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 417, 832, 368 is 1
GCD(971, 417, 832, 368) = 1
Given Input numbers are 971, 417, 832, 368
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Greatest Common Divisior
We found the divisors of 971, 417, 832, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 417, 832, 368 is 1.
Therefore, GCD of numbers 971, 417, 832, 368 is 1
Given Input Data is 971, 417, 832, 368
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 417 is 3 x 139
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
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(971, 417) = 404907
GCD(971, 417) = ( 971 x 417 ) / 404907
GCD(971, 417) = 404907 / 404907
GCD(971, 417) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 832) = 832
GCD(1, 832) = ( 1 x 832 ) / 832
GCD(1, 832) = 832 / 832
GCD(1, 832) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
GCD of 971, 417, 832, 368 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 417, 832, 368?
GCD of 971, 417, 832, 368 is 1
2. Where do I get the detailed procedure to find GCD of 971, 417, 832, 368?
You can find a detailed procedure to find GCD of 971, 417, 832, 368 on our page.
3. How to find GCD of 971, 417, 832, 368 on a calculator?
You can find the GCD of 971, 417, 832, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.