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 753, 250, 86, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 250, 86, 323 is 1
GCD(753, 250, 86, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 250, 86, 323 is 1
GCD(753, 250, 86, 323) = 1
Given Input numbers are 753, 250, 86, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 753, 250, 86, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 250, 86, 323 is 1.
Therefore, GCD of numbers 753, 250, 86, 323 is 1
Given Input Data is 753, 250, 86, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 86 is 2 x 43
Prime Factorization of 323 is 17 x 19
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(753, 250) = 188250
GCD(753, 250) = ( 753 x 250 ) / 188250
GCD(753, 250) = 188250 / 188250
GCD(753, 250) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 753, 250, 86, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 250, 86, 323?
GCD of 753, 250, 86, 323 is 1
2. Where do I get the detailed procedure to find GCD of 753, 250, 86, 323?
You can find a detailed procedure to find GCD of 753, 250, 86, 323 on our page.
3. How to find GCD of 753, 250, 86, 323 on a calculator?
You can find the GCD of 753, 250, 86, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.