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 424, 872, 77, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 872, 77, 182 is 1
GCD(424, 872, 77, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 872, 77, 182 is 1
GCD(424, 872, 77, 182) = 1
Given Input numbers are 424, 872, 77, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 424, 872, 77, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 872, 77, 182 is 1.
Therefore, GCD of numbers 424, 872, 77, 182 is 1
Given Input Data is 424, 872, 77, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 77 is 7 x 11
Prime Factorization of 182 is 2 x 7 x 13
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(424, 872) = 46216
GCD(424, 872) = ( 424 x 872 ) / 46216
GCD(424, 872) = 369728 / 46216
GCD(424, 872) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 77) = 616
GCD(8, 77) = ( 8 x 77 ) / 616
GCD(8, 77) = 616 / 616
GCD(8, 77) = 1
Step3:
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
GCD of 424, 872, 77, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 872, 77, 182?
GCD of 424, 872, 77, 182 is 1
2. Where do I get the detailed procedure to find GCD of 424, 872, 77, 182?
You can find a detailed procedure to find GCD of 424, 872, 77, 182 on our page.
3. How to find GCD of 424, 872, 77, 182 on a calculator?
You can find the GCD of 424, 872, 77, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.