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 798, 709, 32, 338 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 709, 32, 338 is 1
GCD(798, 709, 32, 338) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 709, 32, 338 is 1
GCD(798, 709, 32, 338) = 1
Given Input numbers are 798, 709, 32, 338
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Greatest Common Divisior
We found the divisors of 798, 709, 32, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 709, 32, 338 is 1.
Therefore, GCD of numbers 798, 709, 32, 338 is 1
Given Input Data is 798, 709, 32, 338
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 709 is 709
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 338 is 2 x 13 x 13
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(798, 709) = 565782
GCD(798, 709) = ( 798 x 709 ) / 565782
GCD(798, 709) = 565782 / 565782
GCD(798, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 338
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
GCD(1, 338) = 338 / 338
GCD(1, 338) = 1
GCD of 798, 709, 32, 338 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 709, 32, 338?
GCD of 798, 709, 32, 338 is 1
2. Where do I get the detailed procedure to find GCD of 798, 709, 32, 338?
You can find a detailed procedure to find GCD of 798, 709, 32, 338 on our page.
3. How to find GCD of 798, 709, 32, 338 on a calculator?
You can find the GCD of 798, 709, 32, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.