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 542, 786, 85, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 786, 85, 484 is 1
GCD(542, 786, 85, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 786, 85, 484 is 1
GCD(542, 786, 85, 484) = 1
Given Input numbers are 542, 786, 85, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 542, 786, 85, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 786, 85, 484 is 1.
Therefore, GCD of numbers 542, 786, 85, 484 is 1
Given Input Data is 542, 786, 85, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 85 is 5 x 17
Prime Factorization of 484 is 2 x 2 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(542, 786) = 213006
GCD(542, 786) = ( 542 x 786 ) / 213006
GCD(542, 786) = 426012 / 213006
GCD(542, 786) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 542, 786, 85, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 786, 85, 484?
GCD of 542, 786, 85, 484 is 1
2. Where do I get the detailed procedure to find GCD of 542, 786, 85, 484?
You can find a detailed procedure to find GCD of 542, 786, 85, 484 on our page.
3. How to find GCD of 542, 786, 85, 484 on a calculator?
You can find the GCD of 542, 786, 85, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.