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 706, 763, 648, 303 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 763, 648, 303 is 1
GCD(706, 763, 648, 303) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 763, 648, 303 is 1
GCD(706, 763, 648, 303) = 1
Given Input numbers are 706, 763, 648, 303
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Greatest Common Divisior
We found the divisors of 706, 763, 648, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 763, 648, 303 is 1.
Therefore, GCD of numbers 706, 763, 648, 303 is 1
Given Input Data is 706, 763, 648, 303
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 763 is 7 x 109
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 303 is 3 x 101
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(706, 763) = 538678
GCD(706, 763) = ( 706 x 763 ) / 538678
GCD(706, 763) = 538678 / 538678
GCD(706, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
GCD of 706, 763, 648, 303 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 763, 648, 303?
GCD of 706, 763, 648, 303 is 1
2. Where do I get the detailed procedure to find GCD of 706, 763, 648, 303?
You can find a detailed procedure to find GCD of 706, 763, 648, 303 on our page.
3. How to find GCD of 706, 763, 648, 303 on a calculator?
You can find the GCD of 706, 763, 648, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.