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 48, 317, 777, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 317, 777, 702 is 1
GCD(48, 317, 777, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 317, 777, 702 is 1
GCD(48, 317, 777, 702) = 1
Given Input numbers are 48, 317, 777, 702
To find the GCD of numbers using factoring list out all the divisors of each number
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 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 48, 317, 777, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 317, 777, 702 is 1.
Therefore, GCD of numbers 48, 317, 777, 702 is 1
Given Input Data is 48, 317, 777, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 317 is 317
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 702 is 2 x 3 x 3 x 3 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(48, 317) = 15216
GCD(48, 317) = ( 48 x 317 ) / 15216
GCD(48, 317) = 15216 / 15216
GCD(48, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 48, 317, 777, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 317, 777, 702?
GCD of 48, 317, 777, 702 is 1
2. Where do I get the detailed procedure to find GCD of 48, 317, 777, 702?
You can find a detailed procedure to find GCD of 48, 317, 777, 702 on our page.
3. How to find GCD of 48, 317, 777, 702 on a calculator?
You can find the GCD of 48, 317, 777, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.