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, 744, 76, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 744, 76, 487 is 1
GCD(750, 744, 76, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 744, 76, 487 is 1
GCD(750, 744, 76, 487) = 1
Given Input numbers are 750, 744, 76, 487
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 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Greatest Common Divisior
We found the divisors of 750, 744, 76, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 744, 76, 487 is 1.
Therefore, GCD of numbers 750, 744, 76, 487 is 1
Given Input Data is 750, 744, 76, 487
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 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 487 is 487
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, 744) = 93000
GCD(750, 744) = ( 750 x 744 ) / 93000
GCD(750, 744) = 558000 / 93000
GCD(750, 744) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 76) = 228
GCD(6, 76) = ( 6 x 76 ) / 228
GCD(6, 76) = 456 / 228
GCD(6, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 487) = 974
GCD(2, 487) = ( 2 x 487 ) / 974
GCD(2, 487) = 974 / 974
GCD(2, 487) = 1
GCD of 750, 744, 76, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 744, 76, 487?
GCD of 750, 744, 76, 487 is 1
2. Where do I get the detailed procedure to find GCD of 750, 744, 76, 487?
You can find a detailed procedure to find GCD of 750, 744, 76, 487 on our page.
3. How to find GCD of 750, 744, 76, 487 on a calculator?
You can find the GCD of 750, 744, 76, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.