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, 568, 735, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 568, 735, 906 is 1
GCD(750, 568, 735, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 568, 735, 906 is 1
GCD(750, 568, 735, 906) = 1
Given Input numbers are 750, 568, 735, 906
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 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 750, 568, 735, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 568, 735, 906 is 1.
Therefore, GCD of numbers 750, 568, 735, 906 is 1
Given Input Data is 750, 568, 735, 906
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 568 is 2 x 2 x 2 x 71
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 906 is 2 x 3 x 151
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, 568) = 213000
GCD(750, 568) = ( 750 x 568 ) / 213000
GCD(750, 568) = 426000 / 213000
GCD(750, 568) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
GCD(2, 735) = 1470 / 1470
GCD(2, 735) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 750, 568, 735, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 568, 735, 906?
GCD of 750, 568, 735, 906 is 1
2. Where do I get the detailed procedure to find GCD of 750, 568, 735, 906?
You can find a detailed procedure to find GCD of 750, 568, 735, 906 on our page.
3. How to find GCD of 750, 568, 735, 906 on a calculator?
You can find the GCD of 750, 568, 735, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.