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, 544, 333, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 544, 333, 975 is 1
GCD(250, 544, 333, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 544, 333, 975 is 1
GCD(250, 544, 333, 975) = 1
Given Input numbers are 250, 544, 333, 975
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 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 250, 544, 333, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 544, 333, 975 is 1.
Therefore, GCD of numbers 250, 544, 333, 975 is 1
Given Input Data is 250, 544, 333, 975
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 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 975 is 3 x 5 x 5 x 13
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, 544) = 68000
GCD(250, 544) = ( 250 x 544 ) / 68000
GCD(250, 544) = 136000 / 68000
GCD(250, 544) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 333) = 666
GCD(2, 333) = ( 2 x 333 ) / 666
GCD(2, 333) = 666 / 666
GCD(2, 333) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 250, 544, 333, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 544, 333, 975?
GCD of 250, 544, 333, 975 is 1
2. Where do I get the detailed procedure to find GCD of 250, 544, 333, 975?
You can find a detailed procedure to find GCD of 250, 544, 333, 975 on our page.
3. How to find GCD of 250, 544, 333, 975 on a calculator?
You can find the GCD of 250, 544, 333, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.