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, 812, 689, 751 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 812, 689, 751 is 1
GCD(752, 812, 689, 751) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 812, 689, 751 is 1
GCD(752, 812, 689, 751) = 1
Given Input numbers are 752, 812, 689, 751
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 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Greatest Common Divisior
We found the divisors of 752, 812, 689, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 812, 689, 751 is 1.
Therefore, GCD of numbers 752, 812, 689, 751 is 1
Given Input Data is 752, 812, 689, 751
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 812 is 2 x 2 x 7 x 29
Prime Factorization of 689 is 13 x 53
Prime Factorization of 751 is 751
The above numbers do not have any common prime factor. So GCD is 1
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, 812) = 152656
GCD(752, 812) = ( 752 x 812 ) / 152656
GCD(752, 812) = 610624 / 152656
GCD(752, 812) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 689) = 2756
GCD(4, 689) = ( 4 x 689 ) / 2756
GCD(4, 689) = 2756 / 2756
GCD(4, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 751) = 751
GCD(1, 751) = ( 1 x 751 ) / 751
GCD(1, 751) = 751 / 751
GCD(1, 751) = 1
GCD of 752, 812, 689, 751 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 812, 689, 751?
GCD of 752, 812, 689, 751 is 1
2. Where do I get the detailed procedure to find GCD of 752, 812, 689, 751?
You can find a detailed procedure to find GCD of 752, 812, 689, 751 on our page.
3. How to find GCD of 752, 812, 689, 751 on a calculator?
You can find the GCD of 752, 812, 689, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.