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 974, 232, 71, 856 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 232, 71, 856 is 1
GCD(974, 232, 71, 856) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 232, 71, 856 is 1
GCD(974, 232, 71, 856) = 1
Given Input numbers are 974, 232, 71, 856
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Greatest Common Divisior
We found the divisors of 974, 232, 71, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 232, 71, 856 is 1.
Therefore, GCD of numbers 974, 232, 71, 856 is 1
Given Input Data is 974, 232, 71, 856
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 71 is 71
Prime Factorization of 856 is 2 x 2 x 2 x 107
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(974, 232) = 112984
GCD(974, 232) = ( 974 x 232 ) / 112984
GCD(974, 232) = 225968 / 112984
GCD(974, 232) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 856
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 856) = 856
GCD(1, 856) = ( 1 x 856 ) / 856
GCD(1, 856) = 856 / 856
GCD(1, 856) = 1
GCD of 974, 232, 71, 856 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 232, 71, 856?
GCD of 974, 232, 71, 856 is 1
2. Where do I get the detailed procedure to find GCD of 974, 232, 71, 856?
You can find a detailed procedure to find GCD of 974, 232, 71, 856 on our page.
3. How to find GCD of 974, 232, 71, 856 on a calculator?
You can find the GCD of 974, 232, 71, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.