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 506, 750, 706, 910 i.e. 2 largest integer that divides all the numbers equally.
GCD of 506, 750, 706, 910 is 2
GCD(506, 750, 706, 910) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 506, 750, 706, 910 is 2
GCD(506, 750, 706, 910) = 2
Given Input numbers are 506, 750, 706, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
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 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 506, 750, 706, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 750, 706, 910 is 2.
Therefore, GCD of numbers 506, 750, 706, 910 is 2
Given Input Data is 506, 750, 706, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 706 is 2 x 353
Prime Factorization of 910 is 2 x 5 x 7 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(506, 750) = 189750
GCD(506, 750) = ( 506 x 750 ) / 189750
GCD(506, 750) = 379500 / 189750
GCD(506, 750) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
GCD(2, 706) = 1412 / 706
GCD(2, 706) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 910) = 910
GCD(2, 910) = ( 2 x 910 ) / 910
GCD(2, 910) = 1820 / 910
GCD(2, 910) = 2
GCD of 506, 750, 706, 910 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 506, 750, 706, 910?
GCD of 506, 750, 706, 910 is 2
2. Where do I get the detailed procedure to find GCD of 506, 750, 706, 910?
You can find a detailed procedure to find GCD of 506, 750, 706, 910 on our page.
3. How to find GCD of 506, 750, 706, 910 on a calculator?
You can find the GCD of 506, 750, 706, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.