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 663, 340, 707, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 340, 707, 675 is 1
GCD(663, 340, 707, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 340, 707, 675 is 1
GCD(663, 340, 707, 675) = 1
Given Input numbers are 663, 340, 707, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 663, 340, 707, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 340, 707, 675 is 1.
Therefore, GCD of numbers 663, 340, 707, 675 is 1
Given Input Data is 663, 340, 707, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 707 is 7 x 101
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(663, 340) = 13260
GCD(663, 340) = ( 663 x 340 ) / 13260
GCD(663, 340) = 225420 / 13260
GCD(663, 340) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 707) = 12019
GCD(17, 707) = ( 17 x 707 ) / 12019
GCD(17, 707) = 12019 / 12019
GCD(17, 707) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 663, 340, 707, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 340, 707, 675?
GCD of 663, 340, 707, 675 is 1
2. Where do I get the detailed procedure to find GCD of 663, 340, 707, 675?
You can find a detailed procedure to find GCD of 663, 340, 707, 675 on our page.
3. How to find GCD of 663, 340, 707, 675 on a calculator?
You can find the GCD of 663, 340, 707, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.