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 761, 200, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 761, 200, 243 is 1
GCD(761, 200, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 761, 200, 243 is 1
GCD(761, 200, 243) = 1
Given Input numbers are 761, 200, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 761, 200, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 200, 243 is 1.
Therefore, GCD of numbers 761, 200, 243 is 1
Given Input Data is 761, 200, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 761 is 761
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 243 is 3 x 3 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(761, 200) = 152200
GCD(761, 200) = ( 761 x 200 ) / 152200
GCD(761, 200) = 152200 / 152200
GCD(761, 200) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
GCD of 761, 200, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 761, 200, 243?
GCD of 761, 200, 243 is 1
2. Where do I get the detailed procedure to find GCD of 761, 200, 243?
You can find a detailed procedure to find GCD of 761, 200, 243 on our page.
3. How to find GCD of 761, 200, 243 on a calculator?
You can find the GCD of 761, 200, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.