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 847, 960, 322, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 847, 960, 322, 974 is 1
GCD(847, 960, 322, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 847, 960, 322, 974 is 1
GCD(847, 960, 322, 974) = 1
Given Input numbers are 847, 960, 322, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 847, 960, 322, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 960, 322, 974 is 1.
Therefore, GCD of numbers 847, 960, 322, 974 is 1
Given Input Data is 847, 960, 322, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 974 is 2 x 487
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(847, 960) = 813120
GCD(847, 960) = ( 847 x 960 ) / 813120
GCD(847, 960) = 813120 / 813120
GCD(847, 960) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 847, 960, 322, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 847, 960, 322, 974?
GCD of 847, 960, 322, 974 is 1
2. Where do I get the detailed procedure to find GCD of 847, 960, 322, 974?
You can find a detailed procedure to find GCD of 847, 960, 322, 974 on our page.
3. How to find GCD of 847, 960, 322, 974 on a calculator?
You can find the GCD of 847, 960, 322, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.