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, 251, 549, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 251, 549, 220 is 1
GCD(750, 251, 549, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 251, 549, 220 is 1
GCD(750, 251, 549, 220) = 1
Given Input numbers are 750, 251, 549, 220
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 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 750, 251, 549, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 251, 549, 220 is 1.
Therefore, GCD of numbers 750, 251, 549, 220 is 1
Given Input Data is 750, 251, 549, 220
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 251 is 251
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 220 is 2 x 2 x 5 x 11
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, 251) = 188250
GCD(750, 251) = ( 750 x 251 ) / 188250
GCD(750, 251) = 188250 / 188250
GCD(750, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 549) = 549
GCD(1, 549) = ( 1 x 549 ) / 549
GCD(1, 549) = 549 / 549
GCD(1, 549) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 750, 251, 549, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 251, 549, 220?
GCD of 750, 251, 549, 220 is 1
2. Where do I get the detailed procedure to find GCD of 750, 251, 549, 220?
You can find a detailed procedure to find GCD of 750, 251, 549, 220 on our page.
3. How to find GCD of 750, 251, 549, 220 on a calculator?
You can find the GCD of 750, 251, 549, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.