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, 842, 30, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 842, 30, 429 is 1
GCD(750, 842, 30, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 842, 30, 429 is 1
GCD(750, 842, 30, 429) = 1
Given Input numbers are 750, 842, 30, 429
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 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 750, 842, 30, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 842, 30, 429 is 1.
Therefore, GCD of numbers 750, 842, 30, 429 is 1
Given Input Data is 750, 842, 30, 429
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 842 is 2 x 421
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 429 is 3 x 11 x 13
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, 842) = 315750
GCD(750, 842) = ( 750 x 842 ) / 315750
GCD(750, 842) = 631500 / 315750
GCD(750, 842) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 429) = 858
GCD(2, 429) = ( 2 x 429 ) / 858
GCD(2, 429) = 858 / 858
GCD(2, 429) = 1
GCD of 750, 842, 30, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 842, 30, 429?
GCD of 750, 842, 30, 429 is 1
2. Where do I get the detailed procedure to find GCD of 750, 842, 30, 429?
You can find a detailed procedure to find GCD of 750, 842, 30, 429 on our page.
3. How to find GCD of 750, 842, 30, 429 on a calculator?
You can find the GCD of 750, 842, 30, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.