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 128, 668, 99, 524 i.e. 1 largest integer that divides all the numbers equally.
GCD of 128, 668, 99, 524 is 1
GCD(128, 668, 99, 524) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 668, 99, 524 is 1
GCD(128, 668, 99, 524) = 1
Given Input numbers are 128, 668, 99, 524
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Greatest Common Divisior
We found the divisors of 128, 668, 99, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 668, 99, 524 is 1.
Therefore, GCD of numbers 128, 668, 99, 524 is 1
Given Input Data is 128, 668, 99, 524
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 524 is 2 x 2 x 131
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(128, 668) = 21376
GCD(128, 668) = ( 128 x 668 ) / 21376
GCD(128, 668) = 85504 / 21376
GCD(128, 668) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 99) = 396
GCD(4, 99) = ( 4 x 99 ) / 396
GCD(4, 99) = 396 / 396
GCD(4, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
GCD(1, 524) = 524 / 524
GCD(1, 524) = 1
GCD of 128, 668, 99, 524 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 668, 99, 524?
GCD of 128, 668, 99, 524 is 1
2. Where do I get the detailed procedure to find GCD of 128, 668, 99, 524?
You can find a detailed procedure to find GCD of 128, 668, 99, 524 on our page.
3. How to find GCD of 128, 668, 99, 524 on a calculator?
You can find the GCD of 128, 668, 99, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.