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 585, 851, 64, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 851, 64, 743 is 1
GCD(585, 851, 64, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 851, 64, 743 is 1
GCD(585, 851, 64, 743) = 1
Given Input numbers are 585, 851, 64, 743
To find the GCD of numbers using factoring list out all the divisors of each number
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 585, 851, 64, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 851, 64, 743 is 1.
Therefore, GCD of numbers 585, 851, 64, 743 is 1
Given Input Data is 585, 851, 64, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 851 is 23 x 37
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 743 is 743
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(585, 851) = 497835
GCD(585, 851) = ( 585 x 851 ) / 497835
GCD(585, 851) = 497835 / 497835
GCD(585, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 585, 851, 64, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 851, 64, 743?
GCD of 585, 851, 64, 743 is 1
2. Where do I get the detailed procedure to find GCD of 585, 851, 64, 743?
You can find a detailed procedure to find GCD of 585, 851, 64, 743 on our page.
3. How to find GCD of 585, 851, 64, 743 on a calculator?
You can find the GCD of 585, 851, 64, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.