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 909, 764, 849, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 764, 849, 895 is 1
GCD(909, 764, 849, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 764, 849, 895 is 1
GCD(909, 764, 849, 895) = 1
Given Input numbers are 909, 764, 849, 895
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 909, 764, 849, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 764, 849, 895 is 1.
Therefore, GCD of numbers 909, 764, 849, 895 is 1
Given Input Data is 909, 764, 849, 895
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 849 is 3 x 283
Prime Factorization of 895 is 5 x 179
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(909, 764) = 694476
GCD(909, 764) = ( 909 x 764 ) / 694476
GCD(909, 764) = 694476 / 694476
GCD(909, 764) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 895) = 895
GCD(1, 895) = ( 1 x 895 ) / 895
GCD(1, 895) = 895 / 895
GCD(1, 895) = 1
GCD of 909, 764, 849, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 764, 849, 895?
GCD of 909, 764, 849, 895 is 1
2. Where do I get the detailed procedure to find GCD of 909, 764, 849, 895?
You can find a detailed procedure to find GCD of 909, 764, 849, 895 on our page.
3. How to find GCD of 909, 764, 849, 895 on a calculator?
You can find the GCD of 909, 764, 849, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.