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, 285, 86, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 285, 86, 942 is 1
GCD(537, 285, 86, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 285, 86, 942 is 1
GCD(537, 285, 86, 942) = 1
Given Input numbers are 537, 285, 86, 942
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 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 537, 285, 86, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 285, 86, 942 is 1.
Therefore, GCD of numbers 537, 285, 86, 942 is 1
Given Input Data is 537, 285, 86, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 86 is 2 x 43
Prime Factorization of 942 is 2 x 3 x 157
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, 285) = 51015
GCD(537, 285) = ( 537 x 285 ) / 51015
GCD(537, 285) = 153045 / 51015
GCD(537, 285) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 86) = 258
GCD(3, 86) = ( 3 x 86 ) / 258
GCD(3, 86) = 258 / 258
GCD(3, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 537, 285, 86, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 285, 86, 942?
GCD of 537, 285, 86, 942 is 1
2. Where do I get the detailed procedure to find GCD of 537, 285, 86, 942?
You can find a detailed procedure to find GCD of 537, 285, 86, 942 on our page.
3. How to find GCD of 537, 285, 86, 942 on a calculator?
You can find the GCD of 537, 285, 86, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.