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 959, 705, 40, 397 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 705, 40, 397 is 1
GCD(959, 705, 40, 397) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 705, 40, 397 is 1
GCD(959, 705, 40, 397) = 1
Given Input numbers are 959, 705, 40, 397
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Greatest Common Divisior
We found the divisors of 959, 705, 40, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 705, 40, 397 is 1.
Therefore, GCD of numbers 959, 705, 40, 397 is 1
Given Input Data is 959, 705, 40, 397
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 397 is 397
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(959, 705) = 676095
GCD(959, 705) = ( 959 x 705 ) / 676095
GCD(959, 705) = 676095 / 676095
GCD(959, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
GCD(1, 397) = 397 / 397
GCD(1, 397) = 1
GCD of 959, 705, 40, 397 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 705, 40, 397?
GCD of 959, 705, 40, 397 is 1
2. Where do I get the detailed procedure to find GCD of 959, 705, 40, 397?
You can find a detailed procedure to find GCD of 959, 705, 40, 397 on our page.
3. How to find GCD of 959, 705, 40, 397 on a calculator?
You can find the GCD of 959, 705, 40, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.