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 397, 148, 137, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 397, 148, 137, 979 is 1
GCD(397, 148, 137, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 397, 148, 137, 979 is 1
GCD(397, 148, 137, 979) = 1
Given Input numbers are 397, 148, 137, 979
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Greatest Common Divisior
We found the divisors of 397, 148, 137, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 397, 148, 137, 979 is 1.
Therefore, GCD of numbers 397, 148, 137, 979 is 1
Given Input Data is 397, 148, 137, 979
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 397 is 397
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 137 is 137
Prime Factorization of 979 is 11 x 89
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(397, 148) = 58756
GCD(397, 148) = ( 397 x 148 ) / 58756
GCD(397, 148) = 58756 / 58756
GCD(397, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 979) = 979
GCD(1, 979) = ( 1 x 979 ) / 979
GCD(1, 979) = 979 / 979
GCD(1, 979) = 1
GCD of 397, 148, 137, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 397, 148, 137, 979?
GCD of 397, 148, 137, 979 is 1
2. Where do I get the detailed procedure to find GCD of 397, 148, 137, 979?
You can find a detailed procedure to find GCD of 397, 148, 137, 979 on our page.
3. How to find GCD of 397, 148, 137, 979 on a calculator?
You can find the GCD of 397, 148, 137, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.