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 48, 166, 579, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 166, 579, 436 is 1
GCD(48, 166, 579, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 166, 579, 436 is 1
GCD(48, 166, 579, 436) = 1
Given Input numbers are 48, 166, 579, 436
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 48, 166, 579, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 166, 579, 436 is 1.
Therefore, GCD of numbers 48, 166, 579, 436 is 1
Given Input Data is 48, 166, 579, 436
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 166 is 2 x 83
Prime Factorization of 579 is 3 x 193
Prime Factorization of 436 is 2 x 2 x 109
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(48, 166) = 3984
GCD(48, 166) = ( 48 x 166 ) / 3984
GCD(48, 166) = 7968 / 3984
GCD(48, 166) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 579
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 579) = 1158
GCD(2, 579) = ( 2 x 579 ) / 1158
GCD(2, 579) = 1158 / 1158
GCD(2, 579) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 48, 166, 579, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 166, 579, 436?
GCD of 48, 166, 579, 436 is 1
2. Where do I get the detailed procedure to find GCD of 48, 166, 579, 436?
You can find a detailed procedure to find GCD of 48, 166, 579, 436 on our page.
3. How to find GCD of 48, 166, 579, 436 on a calculator?
You can find the GCD of 48, 166, 579, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.