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, 827, 12, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 827, 12, 434 is 1
GCD(750, 827, 12, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 827, 12, 434 is 1
GCD(750, 827, 12, 434) = 1
Given Input numbers are 750, 827, 12, 434
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 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 750, 827, 12, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 827, 12, 434 is 1.
Therefore, GCD of numbers 750, 827, 12, 434 is 1
Given Input Data is 750, 827, 12, 434
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 827 is 827
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 434 is 2 x 7 x 31
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, 827) = 620250
GCD(750, 827) = ( 750 x 827 ) / 620250
GCD(750, 827) = 620250 / 620250
GCD(750, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 750, 827, 12, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 827, 12, 434?
GCD of 750, 827, 12, 434 is 1
2. Where do I get the detailed procedure to find GCD of 750, 827, 12, 434?
You can find a detailed procedure to find GCD of 750, 827, 12, 434 on our page.
3. How to find GCD of 750, 827, 12, 434 on a calculator?
You can find the GCD of 750, 827, 12, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.