GCD of 747, 585, 649 Calculator
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 747, 585, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 585, 649 is 1
GCD(747, 585, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 585, 649 is 1
GCD(747, 585, 649) = 1
GCDof 747,585,649 is 1
Given Input numbers are 747, 585, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
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 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 747, 585, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 585, 649 is 1.
Therefore, GCD of numbers 747, 585, 649 is 1
Given Input Data is 747, 585, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 649 is 11 x 59
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 747, 585, 649 using LCM Formula
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(747, 585) = 48555
GCD(747, 585) = ( 747 x 585 ) / 48555
GCD(747, 585) = 436995 / 48555
GCD(747, 585) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 649) = 5841
GCD(9, 649) = ( 9 x 649 ) / 5841
GCD(9, 649) = 5841 / 5841
GCD(9, 649) = 1
GCD of 747, 585, 649 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 747, 585, 649
1. What is the GCD of 747, 585, 649?
GCD of 747, 585, 649 is 1
2. Where do I get the detailed procedure to find GCD of 747, 585, 649?
You can find a detailed procedure to find GCD of 747, 585, 649 on our page.
3. How to find GCD of 747, 585, 649 on a calculator?
You can find the GCD of 747, 585, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.