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, 300, 21, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 300, 21, 136 is 1
GCD(959, 300, 21, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 300, 21, 136 is 1
GCD(959, 300, 21, 136) = 1
Given Input numbers are 959, 300, 21, 136
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 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 959, 300, 21, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 300, 21, 136 is 1.
Therefore, GCD of numbers 959, 300, 21, 136 is 1
Given Input Data is 959, 300, 21, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 21 is 3 x 7
Prime Factorization of 136 is 2 x 2 x 2 x 17
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, 300) = 287700
GCD(959, 300) = ( 959 x 300 ) / 287700
GCD(959, 300) = 287700 / 287700
GCD(959, 300) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
GCD of 959, 300, 21, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 300, 21, 136?
GCD of 959, 300, 21, 136 is 1
2. Where do I get the detailed procedure to find GCD of 959, 300, 21, 136?
You can find a detailed procedure to find GCD of 959, 300, 21, 136 on our page.
3. How to find GCD of 959, 300, 21, 136 on a calculator?
You can find the GCD of 959, 300, 21, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.