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 300, 893, 528, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 300, 893, 528, 650 is 1
GCD(300, 893, 528, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 300, 893, 528, 650 is 1
GCD(300, 893, 528, 650) = 1
Given Input numbers are 300, 893, 528, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 300, 893, 528, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 893, 528, 650 is 1.
Therefore, GCD of numbers 300, 893, 528, 650 is 1
Given Input Data is 300, 893, 528, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 893 is 19 x 47
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 650 is 2 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(300, 893) = 267900
GCD(300, 893) = ( 300 x 893 ) / 267900
GCD(300, 893) = 267900 / 267900
GCD(300, 893) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 300, 893, 528, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 300, 893, 528, 650?
GCD of 300, 893, 528, 650 is 1
2. Where do I get the detailed procedure to find GCD of 300, 893, 528, 650?
You can find a detailed procedure to find GCD of 300, 893, 528, 650 on our page.
3. How to find GCD of 300, 893, 528, 650 on a calculator?
You can find the GCD of 300, 893, 528, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.