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 329, 157, 948, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 329, 157, 948, 971 is 1
GCD(329, 157, 948, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 329, 157, 948, 971 is 1
GCD(329, 157, 948, 971) = 1
Given Input numbers are 329, 157, 948, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 329, 157, 948, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 329, 157, 948, 971 is 1.
Therefore, GCD of numbers 329, 157, 948, 971 is 1
Given Input Data is 329, 157, 948, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 329 is 7 x 47
Prime Factorization of 157 is 157
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 971 is 971
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(329, 157) = 51653
GCD(329, 157) = ( 329 x 157 ) / 51653
GCD(329, 157) = 51653 / 51653
GCD(329, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 329, 157, 948, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 329, 157, 948, 971?
GCD of 329, 157, 948, 971 is 1
2. Where do I get the detailed procedure to find GCD of 329, 157, 948, 971?
You can find a detailed procedure to find GCD of 329, 157, 948, 971 on our page.
3. How to find GCD of 329, 157, 948, 971 on a calculator?
You can find the GCD of 329, 157, 948, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.