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 487, 211, 42, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 487, 211, 42, 747 is 1
GCD(487, 211, 42, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 487, 211, 42, 747 is 1
GCD(487, 211, 42, 747) = 1
Given Input numbers are 487, 211, 42, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
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 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 487, 211, 42, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 211, 42, 747 is 1.
Therefore, GCD of numbers 487, 211, 42, 747 is 1
Given Input Data is 487, 211, 42, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 487 is 487
Prime Factorization of 211 is 211
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 747 is 3 x 3 x 83
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(487, 211) = 102757
GCD(487, 211) = ( 487 x 211 ) / 102757
GCD(487, 211) = 102757 / 102757
GCD(487, 211) = 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 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
GCD of 487, 211, 42, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 487, 211, 42, 747?
GCD of 487, 211, 42, 747 is 1
2. Where do I get the detailed procedure to find GCD of 487, 211, 42, 747?
You can find a detailed procedure to find GCD of 487, 211, 42, 747 on our page.
3. How to find GCD of 487, 211, 42, 747 on a calculator?
You can find the GCD of 487, 211, 42, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.