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 207, 902, 42, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 902, 42, 537 is 1
GCD(207, 902, 42, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 902, 42, 537 is 1
GCD(207, 902, 42, 537) = 1
Given Input numbers are 207, 902, 42, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 207, 902, 42, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 902, 42, 537 is 1.
Therefore, GCD of numbers 207, 902, 42, 537 is 1
Given Input Data is 207, 902, 42, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 537 is 3 x 179
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(207, 902) = 186714
GCD(207, 902) = ( 207 x 902 ) / 186714
GCD(207, 902) = 186714 / 186714
GCD(207, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 207, 902, 42, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 902, 42, 537?
GCD of 207, 902, 42, 537 is 1
2. Where do I get the detailed procedure to find GCD of 207, 902, 42, 537?
You can find a detailed procedure to find GCD of 207, 902, 42, 537 on our page.
3. How to find GCD of 207, 902, 42, 537 on a calculator?
You can find the GCD of 207, 902, 42, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.