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 78, 571, 182, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 78, 571, 182, 642 is 1
GCD(78, 571, 182, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 78, 571, 182, 642 is 1
GCD(78, 571, 182, 642) = 1
Given Input numbers are 78, 571, 182, 642
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 78, 571, 182, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 571, 182, 642 is 1.
Therefore, GCD of numbers 78, 571, 182, 642 is 1
Given Input Data is 78, 571, 182, 642
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 571 is 571
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 642 is 2 x 3 x 107
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(78, 571) = 44538
GCD(78, 571) = ( 78 x 571 ) / 44538
GCD(78, 571) = 44538 / 44538
GCD(78, 571) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 78, 571, 182, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 78, 571, 182, 642?
GCD of 78, 571, 182, 642 is 1
2. Where do I get the detailed procedure to find GCD of 78, 571, 182, 642?
You can find a detailed procedure to find GCD of 78, 571, 182, 642 on our page.
3. How to find GCD of 78, 571, 182, 642 on a calculator?
You can find the GCD of 78, 571, 182, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.