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 59, 643, 909, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 643, 909, 385 is 1
GCD(59, 643, 909, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 643, 909, 385 is 1
GCD(59, 643, 909, 385) = 1
Given Input numbers are 59, 643, 909, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 59, 643, 909, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 643, 909, 385 is 1.
Therefore, GCD of numbers 59, 643, 909, 385 is 1
Given Input Data is 59, 643, 909, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 643 is 643
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 385 is 5 x 7 x 11
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(59, 643) = 37937
GCD(59, 643) = ( 59 x 643 ) / 37937
GCD(59, 643) = 37937 / 37937
GCD(59, 643) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
GCD(1, 909) = 909 / 909
GCD(1, 909) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 59, 643, 909, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 643, 909, 385?
GCD of 59, 643, 909, 385 is 1
2. Where do I get the detailed procedure to find GCD of 59, 643, 909, 385?
You can find a detailed procedure to find GCD of 59, 643, 909, 385 on our page.
3. How to find GCD of 59, 643, 909, 385 on a calculator?
You can find the GCD of 59, 643, 909, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.