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 552, 910, 16, 788 i.e. 2 largest integer that divides all the numbers equally.
GCD of 552, 910, 16, 788 is 2
GCD(552, 910, 16, 788) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 910, 16, 788 is 2
GCD(552, 910, 16, 788) = 2
Given Input numbers are 552, 910, 16, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 552, 910, 16, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 910, 16, 788 is 2.
Therefore, GCD of numbers 552, 910, 16, 788 is 2
Given Input Data is 552, 910, 16, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 788 is 2 x 2 x 197
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(552, 910) = 251160
GCD(552, 910) = ( 552 x 910 ) / 251160
GCD(552, 910) = 502320 / 251160
GCD(552, 910) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
GCD(2, 788) = 1576 / 788
GCD(2, 788) = 2
GCD of 552, 910, 16, 788 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 910, 16, 788?
GCD of 552, 910, 16, 788 is 2
2. Where do I get the detailed procedure to find GCD of 552, 910, 16, 788?
You can find a detailed procedure to find GCD of 552, 910, 16, 788 on our page.
3. How to find GCD of 552, 910, 16, 788 on a calculator?
You can find the GCD of 552, 910, 16, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.