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 831, 274, 88, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 274, 88, 709 is 1
GCD(831, 274, 88, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 274, 88, 709 is 1
GCD(831, 274, 88, 709) = 1
Given Input numbers are 831, 274, 88, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 831, 274, 88, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 274, 88, 709 is 1.
Therefore, GCD of numbers 831, 274, 88, 709 is 1
Given Input Data is 831, 274, 88, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 274 is 2 x 137
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 709 is 709
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(831, 274) = 227694
GCD(831, 274) = ( 831 x 274 ) / 227694
GCD(831, 274) = 227694 / 227694
GCD(831, 274) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
GCD of 831, 274, 88, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 274, 88, 709?
GCD of 831, 274, 88, 709 is 1
2. Where do I get the detailed procedure to find GCD of 831, 274, 88, 709?
You can find a detailed procedure to find GCD of 831, 274, 88, 709 on our page.
3. How to find GCD of 831, 274, 88, 709 on a calculator?
You can find the GCD of 831, 274, 88, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.