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 705, 617, 38, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 617, 38, 668 is 1
GCD(705, 617, 38, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 617, 38, 668 is 1
GCD(705, 617, 38, 668) = 1
Given Input numbers are 705, 617, 38, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 705, 617, 38, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 617, 38, 668 is 1.
Therefore, GCD of numbers 705, 617, 38, 668 is 1
Given Input Data is 705, 617, 38, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 617 is 617
Prime Factorization of 38 is 2 x 19
Prime Factorization of 668 is 2 x 2 x 167
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(705, 617) = 434985
GCD(705, 617) = ( 705 x 617 ) / 434985
GCD(705, 617) = 434985 / 434985
GCD(705, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 705, 617, 38, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 617, 38, 668?
GCD of 705, 617, 38, 668 is 1
2. Where do I get the detailed procedure to find GCD of 705, 617, 38, 668?
You can find a detailed procedure to find GCD of 705, 617, 38, 668 on our page.
3. How to find GCD of 705, 617, 38, 668 on a calculator?
You can find the GCD of 705, 617, 38, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.