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 949, 161, 40, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 949, 161, 40, 974 is 1
GCD(949, 161, 40, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 949, 161, 40, 974 is 1
GCD(949, 161, 40, 974) = 1
Given Input numbers are 949, 161, 40, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
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 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 949, 161, 40, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 161, 40, 974 is 1.
Therefore, GCD of numbers 949, 161, 40, 974 is 1
Given Input Data is 949, 161, 40, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 949 is 13 x 73
Prime Factorization of 161 is 7 x 23
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 974 is 2 x 487
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(949, 161) = 152789
GCD(949, 161) = ( 949 x 161 ) / 152789
GCD(949, 161) = 152789 / 152789
GCD(949, 161) = 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 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 949, 161, 40, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 949, 161, 40, 974?
GCD of 949, 161, 40, 974 is 1
2. Where do I get the detailed procedure to find GCD of 949, 161, 40, 974?
You can find a detailed procedure to find GCD of 949, 161, 40, 974 on our page.
3. How to find GCD of 949, 161, 40, 974 on a calculator?
You can find the GCD of 949, 161, 40, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.