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 621, 310, 49, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 621, 310, 49, 900 is 1
GCD(621, 310, 49, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 621, 310, 49, 900 is 1
GCD(621, 310, 49, 900) = 1
Given Input numbers are 621, 310, 49, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 621, 310, 49, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 310, 49, 900 is 1.
Therefore, GCD of numbers 621, 310, 49, 900 is 1
Given Input Data is 621, 310, 49, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 49 is 7 x 7
Prime Factorization of 900 is 2 x 2 x 3 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(621, 310) = 192510
GCD(621, 310) = ( 621 x 310 ) / 192510
GCD(621, 310) = 192510 / 192510
GCD(621, 310) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 621, 310, 49, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 621, 310, 49, 900?
GCD of 621, 310, 49, 900 is 1
2. Where do I get the detailed procedure to find GCD of 621, 310, 49, 900?
You can find a detailed procedure to find GCD of 621, 310, 49, 900 on our page.
3. How to find GCD of 621, 310, 49, 900 on a calculator?
You can find the GCD of 621, 310, 49, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.