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 752, 988, 64, 810 i.e. 2 largest integer that divides all the numbers equally.
GCD of 752, 988, 64, 810 is 2
GCD(752, 988, 64, 810) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 988, 64, 810 is 2
GCD(752, 988, 64, 810) = 2
Given Input numbers are 752, 988, 64, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 752, 988, 64, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 988, 64, 810 is 2.
Therefore, GCD of numbers 752, 988, 64, 810 is 2
Given Input Data is 752, 988, 64, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(752, 988) = 185744
GCD(752, 988) = ( 752 x 988 ) / 185744
GCD(752, 988) = 742976 / 185744
GCD(752, 988) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 64) = 64
GCD(4, 64) = ( 4 x 64 ) / 64
GCD(4, 64) = 256 / 64
GCD(4, 64) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 810) = 1620
GCD(4, 810) = ( 4 x 810 ) / 1620
GCD(4, 810) = 3240 / 1620
GCD(4, 810) = 2
GCD of 752, 988, 64, 810 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 988, 64, 810?
GCD of 752, 988, 64, 810 is 2
2. Where do I get the detailed procedure to find GCD of 752, 988, 64, 810?
You can find a detailed procedure to find GCD of 752, 988, 64, 810 on our page.
3. How to find GCD of 752, 988, 64, 810 on a calculator?
You can find the GCD of 752, 988, 64, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.