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, 930, 661, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 930, 661, 900 is 1
GCD(90, 930, 661, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 930, 661, 900 is 1
GCD(90, 930, 661, 900) = 1
Given Input numbers are 90, 930, 661, 900
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 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
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 90, 930, 661, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 930, 661, 900 is 1.
Therefore, GCD of numbers 90, 930, 661, 900 is 1
Given Input Data is 90, 930, 661, 900
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 930 is 2 x 3 x 5 x 31
Prime Factorization of 661 is 661
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(90, 930) = 2790
GCD(90, 930) = ( 90 x 930 ) / 2790
GCD(90, 930) = 83700 / 2790
GCD(90, 930) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 661) = 19830
GCD(30, 661) = ( 30 x 661 ) / 19830
GCD(30, 661) = 19830 / 19830
GCD(30, 661) = 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 90, 930, 661, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 930, 661, 900?
GCD of 90, 930, 661, 900 is 1
2. Where do I get the detailed procedure to find GCD of 90, 930, 661, 900?
You can find a detailed procedure to find GCD of 90, 930, 661, 900 on our page.
3. How to find GCD of 90, 930, 661, 900 on a calculator?
You can find the GCD of 90, 930, 661, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.