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 744, 488, 86, 168 i.e. 2 largest integer that divides all the numbers equally.
GCD of 744, 488, 86, 168 is 2
GCD(744, 488, 86, 168) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 744, 488, 86, 168 is 2
GCD(744, 488, 86, 168) = 2
Given Input numbers are 744, 488, 86, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 744, 488, 86, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 488, 86, 168 is 2.
Therefore, GCD of numbers 744, 488, 86, 168 is 2
Given Input Data is 744, 488, 86, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 86 is 2 x 43
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(744, 488) = 45384
GCD(744, 488) = ( 744 x 488 ) / 45384
GCD(744, 488) = 363072 / 45384
GCD(744, 488) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 86) = 344
GCD(8, 86) = ( 8 x 86 ) / 344
GCD(8, 86) = 688 / 344
GCD(8, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
GCD(2, 168) = 336 / 168
GCD(2, 168) = 2
GCD of 744, 488, 86, 168 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 744, 488, 86, 168?
GCD of 744, 488, 86, 168 is 2
2. Where do I get the detailed procedure to find GCD of 744, 488, 86, 168?
You can find a detailed procedure to find GCD of 744, 488, 86, 168 on our page.
3. How to find GCD of 744, 488, 86, 168 on a calculator?
You can find the GCD of 744, 488, 86, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.