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 537, 919, 16, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 919, 16, 847 is 1
GCD(537, 919, 16, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 919, 16, 847 is 1
GCD(537, 919, 16, 847) = 1
Given Input numbers are 537, 919, 16, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 537, 919, 16, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 919, 16, 847 is 1.
Therefore, GCD of numbers 537, 919, 16, 847 is 1
Given Input Data is 537, 919, 16, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 919 is 919
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 847 is 7 x 11 x 11
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(537, 919) = 493503
GCD(537, 919) = ( 537 x 919 ) / 493503
GCD(537, 919) = 493503 / 493503
GCD(537, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
GCD(1, 16) = 16 / 16
GCD(1, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
GCD of 537, 919, 16, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 919, 16, 847?
GCD of 537, 919, 16, 847 is 1
2. Where do I get the detailed procedure to find GCD of 537, 919, 16, 847?
You can find a detailed procedure to find GCD of 537, 919, 16, 847 on our page.
3. How to find GCD of 537, 919, 16, 847 on a calculator?
You can find the GCD of 537, 919, 16, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.