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 900, 119, 610, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 900, 119, 610, 709 is 1
GCD(900, 119, 610, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 900, 119, 610, 709 is 1
GCD(900, 119, 610, 709) = 1
Given Input numbers are 900, 119, 610, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
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 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 900, 119, 610, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 119, 610, 709 is 1.
Therefore, GCD of numbers 900, 119, 610, 709 is 1
Given Input Data is 900, 119, 610, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 119 is 7 x 17
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 709 is 709
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(900, 119) = 107100
GCD(900, 119) = ( 900 x 119 ) / 107100
GCD(900, 119) = 107100 / 107100
GCD(900, 119) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 610
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 610) = 610
GCD(1, 610) = ( 1 x 610 ) / 610
GCD(1, 610) = 610 / 610
GCD(1, 610) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
GCD of 900, 119, 610, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 900, 119, 610, 709?
GCD of 900, 119, 610, 709 is 1
2. Where do I get the detailed procedure to find GCD of 900, 119, 610, 709?
You can find a detailed procedure to find GCD of 900, 119, 610, 709 on our page.
3. How to find GCD of 900, 119, 610, 709 on a calculator?
You can find the GCD of 900, 119, 610, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.