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 90, 850, 645, 581 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 850, 645, 581 is 1
GCD(90, 850, 645, 581) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 850, 645, 581 is 1
GCD(90, 850, 645, 581) = 1
Given Input numbers are 90, 850, 645, 581
To find the GCD of numbers using factoring list out all the divisors of each number
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 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Greatest Common Divisior
We found the divisors of 90, 850, 645, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 850, 645, 581 is 1.
Therefore, GCD of numbers 90, 850, 645, 581 is 1
Given Input Data is 90, 850, 645, 581
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 581 is 7 x 83
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(90, 850) = 7650
GCD(90, 850) = ( 90 x 850 ) / 7650
GCD(90, 850) = 76500 / 7650
GCD(90, 850) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 645) = 1290
GCD(10, 645) = ( 10 x 645 ) / 1290
GCD(10, 645) = 6450 / 1290
GCD(10, 645) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 581) = 2905
GCD(5, 581) = ( 5 x 581 ) / 2905
GCD(5, 581) = 2905 / 2905
GCD(5, 581) = 1
GCD of 90, 850, 645, 581 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 850, 645, 581?
GCD of 90, 850, 645, 581 is 1
2. Where do I get the detailed procedure to find GCD of 90, 850, 645, 581?
You can find a detailed procedure to find GCD of 90, 850, 645, 581 on our page.
3. How to find GCD of 90, 850, 645, 581 on a calculator?
You can find the GCD of 90, 850, 645, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.