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 703, 974, 831, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 703, 974, 831, 706 is 1
GCD(703, 974, 831, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 703, 974, 831, 706 is 1
GCD(703, 974, 831, 706) = 1
Given Input numbers are 703, 974, 831, 706
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 703, 974, 831, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 974, 831, 706 is 1.
Therefore, GCD of numbers 703, 974, 831, 706 is 1
Given Input Data is 703, 974, 831, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 703 is 19 x 37
Prime Factorization of 974 is 2 x 487
Prime Factorization of 831 is 3 x 277
Prime Factorization of 706 is 2 x 353
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(703, 974) = 684722
GCD(703, 974) = ( 703 x 974 ) / 684722
GCD(703, 974) = 684722 / 684722
GCD(703, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
GCD of 703, 974, 831, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 703, 974, 831, 706?
GCD of 703, 974, 831, 706 is 1
2. Where do I get the detailed procedure to find GCD of 703, 974, 831, 706?
You can find a detailed procedure to find GCD of 703, 974, 831, 706 on our page.
3. How to find GCD of 703, 974, 831, 706 on a calculator?
You can find the GCD of 703, 974, 831, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.