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 610, 752, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 610, 752, 899 is 1
GCD(610, 752, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 610, 752, 899 is 1
GCD(610, 752, 899) = 1
Given Input numbers are 610, 752, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 610, 752, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 752, 899 is 1.
Therefore, GCD of numbers 610, 752, 899 is 1
Given Input Data is 610, 752, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 899 is 29 x 31
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(610, 752) = 229360
GCD(610, 752) = ( 610 x 752 ) / 229360
GCD(610, 752) = 458720 / 229360
GCD(610, 752) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 899) = 1798
GCD(2, 899) = ( 2 x 899 ) / 1798
GCD(2, 899) = 1798 / 1798
GCD(2, 899) = 1
GCD of 610, 752, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 610, 752, 899?
GCD of 610, 752, 899 is 1
2. Where do I get the detailed procedure to find GCD of 610, 752, 899?
You can find a detailed procedure to find GCD of 610, 752, 899 on our page.
3. How to find GCD of 610, 752, 899 on a calculator?
You can find the GCD of 610, 752, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.