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 849, 736, 852, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 849, 736, 852, 964 is 1
GCD(849, 736, 852, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 849, 736, 852, 964 is 1
GCD(849, 736, 852, 964) = 1
Given Input numbers are 849, 736, 852, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 849, 736, 852, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 736, 852, 964 is 1.
Therefore, GCD of numbers 849, 736, 852, 964 is 1
Given Input Data is 849, 736, 852, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 849 is 3 x 283
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 964 is 2 x 2 x 241
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(849, 736) = 624864
GCD(849, 736) = ( 849 x 736 ) / 624864
GCD(849, 736) = 624864 / 624864
GCD(849, 736) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 849, 736, 852, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 849, 736, 852, 964?
GCD of 849, 736, 852, 964 is 1
2. Where do I get the detailed procedure to find GCD of 849, 736, 852, 964?
You can find a detailed procedure to find GCD of 849, 736, 852, 964 on our page.
3. How to find GCD of 849, 736, 852, 964 on a calculator?
You can find the GCD of 849, 736, 852, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.