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 250, 945, 26, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 945, 26, 720 is 1
GCD(250, 945, 26, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 945, 26, 720 is 1
GCD(250, 945, 26, 720) = 1
Given Input numbers are 250, 945, 26, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Greatest Common Divisior
We found the divisors of 250, 945, 26, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 945, 26, 720 is 1.
Therefore, GCD of numbers 250, 945, 26, 720 is 1
Given Input Data is 250, 945, 26, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 26 is 2 x 13
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
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(250, 945) = 47250
GCD(250, 945) = ( 250 x 945 ) / 47250
GCD(250, 945) = 236250 / 47250
GCD(250, 945) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 26) = 130
GCD(5, 26) = ( 5 x 26 ) / 130
GCD(5, 26) = 130 / 130
GCD(5, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 250, 945, 26, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 945, 26, 720?
GCD of 250, 945, 26, 720 is 1
2. Where do I get the detailed procedure to find GCD of 250, 945, 26, 720?
You can find a detailed procedure to find GCD of 250, 945, 26, 720 on our page.
3. How to find GCD of 250, 945, 26, 720 on a calculator?
You can find the GCD of 250, 945, 26, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.