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 262, 266, 133, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 266, 133, 375 is 1
GCD(262, 266, 133, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 266, 133, 375 is 1
GCD(262, 266, 133, 375) = 1
Given Input numbers are 262, 266, 133, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 262, 266, 133, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 266, 133, 375 is 1.
Therefore, GCD of numbers 262, 266, 133, 375 is 1
Given Input Data is 262, 266, 133, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 133 is 7 x 19
Prime Factorization of 375 is 3 x 5 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(262, 266) = 34846
GCD(262, 266) = ( 262 x 266 ) / 34846
GCD(262, 266) = 69692 / 34846
GCD(262, 266) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 133) = 266
GCD(2, 133) = ( 2 x 133 ) / 266
GCD(2, 133) = 266 / 266
GCD(2, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 262, 266, 133, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 266, 133, 375?
GCD of 262, 266, 133, 375 is 1
2. Where do I get the detailed procedure to find GCD of 262, 266, 133, 375?
You can find a detailed procedure to find GCD of 262, 266, 133, 375 on our page.
3. How to find GCD of 262, 266, 133, 375 on a calculator?
You can find the GCD of 262, 266, 133, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.