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 196, 949, 40, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 949, 40, 160 is 1
GCD(196, 949, 40, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 949, 40, 160 is 1
GCD(196, 949, 40, 160) = 1
Given Input numbers are 196, 949, 40, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
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 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 196, 949, 40, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 949, 40, 160 is 1.
Therefore, GCD of numbers 196, 949, 40, 160 is 1
Given Input Data is 196, 949, 40, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 949 is 13 x 73
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(196, 949) = 186004
GCD(196, 949) = ( 196 x 949 ) / 186004
GCD(196, 949) = 186004 / 186004
GCD(196, 949) = 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 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 196, 949, 40, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 949, 40, 160?
GCD of 196, 949, 40, 160 is 1
2. Where do I get the detailed procedure to find GCD of 196, 949, 40, 160?
You can find a detailed procedure to find GCD of 196, 949, 40, 160 on our page.
3. How to find GCD of 196, 949, 40, 160 on a calculator?
You can find the GCD of 196, 949, 40, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.