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 61, 441, 214, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 441, 214, 236 is 1
GCD(61, 441, 214, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 441, 214, 236 is 1
GCD(61, 441, 214, 236) = 1
Given Input numbers are 61, 441, 214, 236
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 61, 441, 214, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 441, 214, 236 is 1.
Therefore, GCD of numbers 61, 441, 214, 236 is 1
Given Input Data is 61, 441, 214, 236
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 214 is 2 x 107
Prime Factorization of 236 is 2 x 2 x 59
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(61, 441) = 26901
GCD(61, 441) = ( 61 x 441 ) / 26901
GCD(61, 441) = 26901 / 26901
GCD(61, 441) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
GCD of 61, 441, 214, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 441, 214, 236?
GCD of 61, 441, 214, 236 is 1
2. Where do I get the detailed procedure to find GCD of 61, 441, 214, 236?
You can find a detailed procedure to find GCD of 61, 441, 214, 236 on our page.
3. How to find GCD of 61, 441, 214, 236 on a calculator?
You can find the GCD of 61, 441, 214, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.