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 76, 585, 546, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 585, 546, 645 is 1
GCD(76, 585, 546, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 585, 546, 645 is 1
GCD(76, 585, 546, 645) = 1
Given Input numbers are 76, 585, 546, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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 76, 585, 546, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 585, 546, 645 is 1.
Therefore, GCD of numbers 76, 585, 546, 645 is 1
Given Input Data is 76, 585, 546, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 546 is 2 x 3 x 7 x 13
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(76, 585) = 44460
GCD(76, 585) = ( 76 x 585 ) / 44460
GCD(76, 585) = 44460 / 44460
GCD(76, 585) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
GCD(1, 546) = 546 / 546
GCD(1, 546) = 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 76, 585, 546, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 585, 546, 645?
GCD of 76, 585, 546, 645 is 1
2. Where do I get the detailed procedure to find GCD of 76, 585, 546, 645?
You can find a detailed procedure to find GCD of 76, 585, 546, 645 on our page.
3. How to find GCD of 76, 585, 546, 645 on a calculator?
You can find the GCD of 76, 585, 546, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.