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 208, 588, 78, 172 i.e. 2 largest integer that divides all the numbers equally.
GCD of 208, 588, 78, 172 is 2
GCD(208, 588, 78, 172) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 208, 588, 78, 172 is 2
GCD(208, 588, 78, 172) = 2
Given Input numbers are 208, 588, 78, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 208, 588, 78, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 588, 78, 172 is 2.
Therefore, GCD of numbers 208, 588, 78, 172 is 2
Given Input Data is 208, 588, 78, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 172 is 2 x 2 x 43
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(208, 588) = 30576
GCD(208, 588) = ( 208 x 588 ) / 30576
GCD(208, 588) = 122304 / 30576
GCD(208, 588) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 78) = 156
GCD(4, 78) = ( 4 x 78 ) / 156
GCD(4, 78) = 312 / 156
GCD(4, 78) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
GCD(2, 172) = 344 / 172
GCD(2, 172) = 2
GCD of 208, 588, 78, 172 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 208, 588, 78, 172?
GCD of 208, 588, 78, 172 is 2
2. Where do I get the detailed procedure to find GCD of 208, 588, 78, 172?
You can find a detailed procedure to find GCD of 208, 588, 78, 172 on our page.
3. How to find GCD of 208, 588, 78, 172 on a calculator?
You can find the GCD of 208, 588, 78, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.