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, 243, 969, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 243, 969, 432 is 1
GCD(61, 243, 969, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 243, 969, 432 is 1
GCD(61, 243, 969, 432) = 1
Given Input numbers are 61, 243, 969, 432
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 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 61, 243, 969, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 243, 969, 432 is 1.
Therefore, GCD of numbers 61, 243, 969, 432 is 1
Given Input Data is 61, 243, 969, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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, 243) = 14823
GCD(61, 243) = ( 61 x 243 ) / 14823
GCD(61, 243) = 14823 / 14823
GCD(61, 243) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 61, 243, 969, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 243, 969, 432?
GCD of 61, 243, 969, 432 is 1
2. Where do I get the detailed procedure to find GCD of 61, 243, 969, 432?
You can find a detailed procedure to find GCD of 61, 243, 969, 432 on our page.
3. How to find GCD of 61, 243, 969, 432 on a calculator?
You can find the GCD of 61, 243, 969, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.