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 794, 749, 60, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 794, 749, 60, 685 is 1
GCD(794, 749, 60, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 794, 749, 60, 685 is 1
GCD(794, 749, 60, 685) = 1
Given Input numbers are 794, 749, 60, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 794, 749, 60, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 749, 60, 685 is 1.
Therefore, GCD of numbers 794, 749, 60, 685 is 1
Given Input Data is 794, 749, 60, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 794 is 2 x 397
Prime Factorization of 749 is 7 x 107
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 685 is 5 x 137
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(794, 749) = 594706
GCD(794, 749) = ( 794 x 749 ) / 594706
GCD(794, 749) = 594706 / 594706
GCD(794, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 794, 749, 60, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 794, 749, 60, 685?
GCD of 794, 749, 60, 685 is 1
2. Where do I get the detailed procedure to find GCD of 794, 749, 60, 685?
You can find a detailed procedure to find GCD of 794, 749, 60, 685 on our page.
3. How to find GCD of 794, 749, 60, 685 on a calculator?
You can find the GCD of 794, 749, 60, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.