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, 115, 10, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 115, 10, 212 is 1
GCD(750, 115, 10, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 115, 10, 212 is 1
GCD(750, 115, 10, 212) = 1
Given Input numbers are 750, 115, 10, 212
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 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 750, 115, 10, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 115, 10, 212 is 1.
Therefore, GCD of numbers 750, 115, 10, 212 is 1
Given Input Data is 750, 115, 10, 212
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 115 is 5 x 23
Prime Factorization of 10 is 2 x 5
Prime Factorization of 212 is 2 x 2 x 53
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, 115) = 17250
GCD(750, 115) = ( 750 x 115 ) / 17250
GCD(750, 115) = 86250 / 17250
GCD(750, 115) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 10) = 10
GCD(5, 10) = ( 5 x 10 ) / 10
GCD(5, 10) = 50 / 10
GCD(5, 10) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 212) = 1060
GCD(5, 212) = ( 5 x 212 ) / 1060
GCD(5, 212) = 1060 / 1060
GCD(5, 212) = 1
GCD of 750, 115, 10, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 115, 10, 212?
GCD of 750, 115, 10, 212 is 1
2. Where do I get the detailed procedure to find GCD of 750, 115, 10, 212?
You can find a detailed procedure to find GCD of 750, 115, 10, 212 on our page.
3. How to find GCD of 750, 115, 10, 212 on a calculator?
You can find the GCD of 750, 115, 10, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.