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 26, 267, 310, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 267, 310, 150 is 1
GCD(26, 267, 310, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 267, 310, 150 is 1
GCD(26, 267, 310, 150) = 1
Given Input numbers are 26, 267, 310, 150
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greatest Common Divisior
We found the divisors of 26, 267, 310, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 267, 310, 150 is 1.
Therefore, GCD of numbers 26, 267, 310, 150 is 1
Given Input Data is 26, 267, 310, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 267 is 3 x 89
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 150 is 2 x 3 x 5 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(26, 267) = 6942
GCD(26, 267) = ( 26 x 267 ) / 6942
GCD(26, 267) = 6942 / 6942
GCD(26, 267) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 26, 267, 310, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 267, 310, 150?
GCD of 26, 267, 310, 150 is 1
2. Where do I get the detailed procedure to find GCD of 26, 267, 310, 150?
You can find a detailed procedure to find GCD of 26, 267, 310, 150 on our page.
3. How to find GCD of 26, 267, 310, 150 on a calculator?
You can find the GCD of 26, 267, 310, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.