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 873, 759, 875, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 759, 875, 762 is 1
GCD(873, 759, 875, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 759, 875, 762 is 1
GCD(873, 759, 875, 762) = 1
Given Input numbers are 873, 759, 875, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 873, 759, 875, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 759, 875, 762 is 1.
Therefore, GCD of numbers 873, 759, 875, 762 is 1
Given Input Data is 873, 759, 875, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 762 is 2 x 3 x 127
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(873, 759) = 220869
GCD(873, 759) = ( 873 x 759 ) / 220869
GCD(873, 759) = 662607 / 220869
GCD(873, 759) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 875) = 2625
GCD(3, 875) = ( 3 x 875 ) / 2625
GCD(3, 875) = 2625 / 2625
GCD(3, 875) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 873, 759, 875, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 759, 875, 762?
GCD of 873, 759, 875, 762 is 1
2. Where do I get the detailed procedure to find GCD of 873, 759, 875, 762?
You can find a detailed procedure to find GCD of 873, 759, 875, 762 on our page.
3. How to find GCD of 873, 759, 875, 762 on a calculator?
You can find the GCD of 873, 759, 875, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.