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, 133, 583, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 133, 583, 645 is 1
GCD(61, 133, 583, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 133, 583, 645 is 1
GCD(61, 133, 583, 645) = 1
Given Input numbers are 61, 133, 583, 645
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 61, 133, 583, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 133, 583, 645 is 1.
Therefore, GCD of numbers 61, 133, 583, 645 is 1
Given Input Data is 61, 133, 583, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 133 is 7 x 19
Prime Factorization of 583 is 11 x 53
Prime Factorization of 645 is 3 x 5 x 43
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, 133) = 8113
GCD(61, 133) = ( 61 x 133 ) / 8113
GCD(61, 133) = 8113 / 8113
GCD(61, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 583) = 583
GCD(1, 583) = ( 1 x 583 ) / 583
GCD(1, 583) = 583 / 583
GCD(1, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 61, 133, 583, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 133, 583, 645?
GCD of 61, 133, 583, 645 is 1
2. Where do I get the detailed procedure to find GCD of 61, 133, 583, 645?
You can find a detailed procedure to find GCD of 61, 133, 583, 645 on our page.
3. How to find GCD of 61, 133, 583, 645 on a calculator?
You can find the GCD of 61, 133, 583, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.