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 712, 850, 884, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 850, 884, 959 is 1
GCD(712, 850, 884, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 850, 884, 959 is 1
GCD(712, 850, 884, 959) = 1
Given Input numbers are 712, 850, 884, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 712, 850, 884, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 850, 884, 959 is 1.
Therefore, GCD of numbers 712, 850, 884, 959 is 1
Given Input Data is 712, 850, 884, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 959 is 7 x 137
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(712, 850) = 302600
GCD(712, 850) = ( 712 x 850 ) / 302600
GCD(712, 850) = 605200 / 302600
GCD(712, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 884
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 884) = 884
GCD(2, 884) = ( 2 x 884 ) / 884
GCD(2, 884) = 1768 / 884
GCD(2, 884) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 959) = 1918
GCD(2, 959) = ( 2 x 959 ) / 1918
GCD(2, 959) = 1918 / 1918
GCD(2, 959) = 1
GCD of 712, 850, 884, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 850, 884, 959?
GCD of 712, 850, 884, 959 is 1
2. Where do I get the detailed procedure to find GCD of 712, 850, 884, 959?
You can find a detailed procedure to find GCD of 712, 850, 884, 959 on our page.
3. How to find GCD of 712, 850, 884, 959 on a calculator?
You can find the GCD of 712, 850, 884, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.