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 750, 399, 188, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 399, 188, 498 is 1
GCD(750, 399, 188, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 399, 188, 498 is 1
GCD(750, 399, 188, 498) = 1
Given Input numbers are 750, 399, 188, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 750, 399, 188, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 399, 188, 498 is 1.
Therefore, GCD of numbers 750, 399, 188, 498 is 1
Given Input Data is 750, 399, 188, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 498 is 2 x 3 x 83
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(750, 399) = 99750
GCD(750, 399) = ( 750 x 399 ) / 99750
GCD(750, 399) = 299250 / 99750
GCD(750, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 188) = 564
GCD(3, 188) = ( 3 x 188 ) / 564
GCD(3, 188) = 564 / 564
GCD(3, 188) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 750, 399, 188, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 399, 188, 498?
GCD of 750, 399, 188, 498 is 1
2. Where do I get the detailed procedure to find GCD of 750, 399, 188, 498?
You can find a detailed procedure to find GCD of 750, 399, 188, 498 on our page.
3. How to find GCD of 750, 399, 188, 498 on a calculator?
You can find the GCD of 750, 399, 188, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.