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 805, 268, 159, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 805, 268, 159, 149 is 1
GCD(805, 268, 159, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 805, 268, 159, 149 is 1
GCD(805, 268, 159, 149) = 1
Given Input numbers are 805, 268, 159, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 805, 268, 159, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 268, 159, 149 is 1.
Therefore, GCD of numbers 805, 268, 159, 149 is 1
Given Input Data is 805, 268, 159, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 159 is 3 x 53
Prime Factorization of 149 is 149
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(805, 268) = 215740
GCD(805, 268) = ( 805 x 268 ) / 215740
GCD(805, 268) = 215740 / 215740
GCD(805, 268) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 805, 268, 159, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 805, 268, 159, 149?
GCD of 805, 268, 159, 149 is 1
2. Where do I get the detailed procedure to find GCD of 805, 268, 159, 149?
You can find a detailed procedure to find GCD of 805, 268, 159, 149 on our page.
3. How to find GCD of 805, 268, 159, 149 on a calculator?
You can find the GCD of 805, 268, 159, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.