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 793, 978, 48, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 793, 978, 48, 670 is 1
GCD(793, 978, 48, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 793, 978, 48, 670 is 1
GCD(793, 978, 48, 670) = 1
Given Input numbers are 793, 978, 48, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 793, 978, 48, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 978, 48, 670 is 1.
Therefore, GCD of numbers 793, 978, 48, 670 is 1
Given Input Data is 793, 978, 48, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 793 is 13 x 61
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 670 is 2 x 5 x 67
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(793, 978) = 775554
GCD(793, 978) = ( 793 x 978 ) / 775554
GCD(793, 978) = 775554 / 775554
GCD(793, 978) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 793, 978, 48, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 793, 978, 48, 670?
GCD of 793, 978, 48, 670 is 1
2. Where do I get the detailed procedure to find GCD of 793, 978, 48, 670?
You can find a detailed procedure to find GCD of 793, 978, 48, 670 on our page.
3. How to find GCD of 793, 978, 48, 670 on a calculator?
You can find the GCD of 793, 978, 48, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.