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 675, 103, 490, 568 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 103, 490, 568 is 1
GCD(675, 103, 490, 568) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 103, 490, 568 is 1
GCD(675, 103, 490, 568) = 1
Given Input numbers are 675, 103, 490, 568
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Greatest Common Divisior
We found the divisors of 675, 103, 490, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 103, 490, 568 is 1.
Therefore, GCD of numbers 675, 103, 490, 568 is 1
Given Input Data is 675, 103, 490, 568
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 103 is 103
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 568 is 2 x 2 x 2 x 71
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(675, 103) = 69525
GCD(675, 103) = ( 675 x 103 ) / 69525
GCD(675, 103) = 69525 / 69525
GCD(675, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
GCD of 675, 103, 490, 568 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 103, 490, 568?
GCD of 675, 103, 490, 568 is 1
2. Where do I get the detailed procedure to find GCD of 675, 103, 490, 568?
You can find a detailed procedure to find GCD of 675, 103, 490, 568 on our page.
3. How to find GCD of 675, 103, 490, 568 on a calculator?
You can find the GCD of 675, 103, 490, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.