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 53, 225, 943, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 225, 943, 261 is 1
GCD(53, 225, 943, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 225, 943, 261 is 1
GCD(53, 225, 943, 261) = 1
Given Input numbers are 53, 225, 943, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
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 53, 225, 943, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 225, 943, 261 is 1.
Therefore, GCD of numbers 53, 225, 943, 261 is 1
Given Input Data is 53, 225, 943, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 943 is 23 x 41
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(53, 225) = 11925
GCD(53, 225) = ( 53 x 225 ) / 11925
GCD(53, 225) = 11925 / 11925
GCD(53, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 943) = 943
GCD(1, 943) = ( 1 x 943 ) / 943
GCD(1, 943) = 943 / 943
GCD(1, 943) = 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 53, 225, 943, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 225, 943, 261?
GCD of 53, 225, 943, 261 is 1
2. Where do I get the detailed procedure to find GCD of 53, 225, 943, 261?
You can find a detailed procedure to find GCD of 53, 225, 943, 261 on our page.
3. How to find GCD of 53, 225, 943, 261 on a calculator?
You can find the GCD of 53, 225, 943, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.