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 733, 262, 21, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 733, 262, 21, 261 is 1
GCD(733, 262, 21, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 733, 262, 21, 261 is 1
GCD(733, 262, 21, 261) = 1
Given Input numbers are 733, 262, 21, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 733, 262, 21, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 262, 21, 261 is 1.
Therefore, GCD of numbers 733, 262, 21, 261 is 1
Given Input Data is 733, 262, 21, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 733 is 733
Prime Factorization of 262 is 2 x 131
Prime Factorization of 21 is 3 x 7
Prime Factorization of 261 is 3 x 3 x 29
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(733, 262) = 192046
GCD(733, 262) = ( 733 x 262 ) / 192046
GCD(733, 262) = 192046 / 192046
GCD(733, 262) = 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 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 733, 262, 21, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 733, 262, 21, 261?
GCD of 733, 262, 21, 261 is 1
2. Where do I get the detailed procedure to find GCD of 733, 262, 21, 261?
You can find a detailed procedure to find GCD of 733, 262, 21, 261 on our page.
3. How to find GCD of 733, 262, 21, 261 on a calculator?
You can find the GCD of 733, 262, 21, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.