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 715, 842, 90, 512 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 842, 90, 512 is 1
GCD(715, 842, 90, 512) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 842, 90, 512 is 1
GCD(715, 842, 90, 512) = 1
Given Input numbers are 715, 842, 90, 512
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Greatest Common Divisior
We found the divisors of 715, 842, 90, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 842, 90, 512 is 1.
Therefore, GCD of numbers 715, 842, 90, 512 is 1
Given Input Data is 715, 842, 90, 512
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 842 is 2 x 421
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(715, 842) = 602030
GCD(715, 842) = ( 715 x 842 ) / 602030
GCD(715, 842) = 602030 / 602030
GCD(715, 842) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
GCD of 715, 842, 90, 512 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 842, 90, 512?
GCD of 715, 842, 90, 512 is 1
2. Where do I get the detailed procedure to find GCD of 715, 842, 90, 512?
You can find a detailed procedure to find GCD of 715, 842, 90, 512 on our page.
3. How to find GCD of 715, 842, 90, 512 on a calculator?
You can find the GCD of 715, 842, 90, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.