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 704, 182, 168, 306 i.e. 2 largest integer that divides all the numbers equally.
GCD of 704, 182, 168, 306 is 2
GCD(704, 182, 168, 306) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 182, 168, 306 is 2
GCD(704, 182, 168, 306) = 2
Given Input numbers are 704, 182, 168, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
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 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
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 704, 182, 168, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 182, 168, 306 is 2.
Therefore, GCD of numbers 704, 182, 168, 306 is 2
Given Input Data is 704, 182, 168, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 306 is 2 x 3 x 3 x 17
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(704, 182) = 64064
GCD(704, 182) = ( 704 x 182 ) / 64064
GCD(704, 182) = 128128 / 64064
GCD(704, 182) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 306) = 306
GCD(2, 306) = ( 2 x 306 ) / 306
GCD(2, 306) = 612 / 306
GCD(2, 306) = 2
GCD of 704, 182, 168, 306 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 182, 168, 306?
GCD of 704, 182, 168, 306 is 2
2. Where do I get the detailed procedure to find GCD of 704, 182, 168, 306?
You can find a detailed procedure to find GCD of 704, 182, 168, 306 on our page.
3. How to find GCD of 704, 182, 168, 306 on a calculator?
You can find the GCD of 704, 182, 168, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.