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, 620, 251, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 620, 251, 850 is 1
GCD(90, 620, 251, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 620, 251, 850 is 1
GCD(90, 620, 251, 850) = 1
Given Input numbers are 90, 620, 251, 850
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 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
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
Greatest Common Divisior
We found the divisors of 90, 620, 251, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 620, 251, 850 is 1.
Therefore, GCD of numbers 90, 620, 251, 850 is 1
Given Input Data is 90, 620, 251, 850
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 620 is 2 x 2 x 5 x 31
Prime Factorization of 251 is 251
Prime Factorization of 850 is 2 x 5 x 5 x 17
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, 620) = 5580
GCD(90, 620) = ( 90 x 620 ) / 5580
GCD(90, 620) = 55800 / 5580
GCD(90, 620) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 251) = 2510
GCD(10, 251) = ( 10 x 251 ) / 2510
GCD(10, 251) = 2510 / 2510
GCD(10, 251) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 90, 620, 251, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 620, 251, 850?
GCD of 90, 620, 251, 850 is 1
2. Where do I get the detailed procedure to find GCD of 90, 620, 251, 850?
You can find a detailed procedure to find GCD of 90, 620, 251, 850 on our page.
3. How to find GCD of 90, 620, 251, 850 on a calculator?
You can find the GCD of 90, 620, 251, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.