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 242, 207, 63, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 242, 207, 63, 675 is 1
GCD(242, 207, 63, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 242, 207, 63, 675 is 1
GCD(242, 207, 63, 675) = 1
Given Input numbers are 242, 207, 63, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
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 242, 207, 63, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 207, 63, 675 is 1.
Therefore, GCD of numbers 242, 207, 63, 675 is 1
Given Input Data is 242, 207, 63, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 63 is 3 x 3 x 7
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(242, 207) = 50094
GCD(242, 207) = ( 242 x 207 ) / 50094
GCD(242, 207) = 50094 / 50094
GCD(242, 207) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 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 242, 207, 63, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 242, 207, 63, 675?
GCD of 242, 207, 63, 675 is 1
2. Where do I get the detailed procedure to find GCD of 242, 207, 63, 675?
You can find a detailed procedure to find GCD of 242, 207, 63, 675 on our page.
3. How to find GCD of 242, 207, 63, 675 on a calculator?
You can find the GCD of 242, 207, 63, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.