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 782, 406, 85, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 782, 406, 85, 300 is 1
GCD(782, 406, 85, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 406, 85, 300 is 1
GCD(782, 406, 85, 300) = 1
Given Input numbers are 782, 406, 85, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
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
Greatest Common Divisior
We found the divisors of 782, 406, 85, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 406, 85, 300 is 1.
Therefore, GCD of numbers 782, 406, 85, 300 is 1
Given Input Data is 782, 406, 85, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 85 is 5 x 17
Prime Factorization of 300 is 2 x 2 x 3 x 5 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(782, 406) = 158746
GCD(782, 406) = ( 782 x 406 ) / 158746
GCD(782, 406) = 317492 / 158746
GCD(782, 406) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
GCD of 782, 406, 85, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 406, 85, 300?
GCD of 782, 406, 85, 300 is 1
2. Where do I get the detailed procedure to find GCD of 782, 406, 85, 300?
You can find a detailed procedure to find GCD of 782, 406, 85, 300 on our page.
3. How to find GCD of 782, 406, 85, 300 on a calculator?
You can find the GCD of 782, 406, 85, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.