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 930, 990, 75, 632 i.e. 1 largest integer that divides all the numbers equally.
GCD of 930, 990, 75, 632 is 1
GCD(930, 990, 75, 632) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 930, 990, 75, 632 is 1
GCD(930, 990, 75, 632) = 1
Given Input numbers are 930, 990, 75, 632
To find the GCD of numbers using factoring list out all the divisors of each number
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 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 930, 990, 75, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 990, 75, 632 is 1.
Therefore, GCD of numbers 930, 990, 75, 632 is 1
Given Input Data is 930, 990, 75, 632
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 632 is 2 x 2 x 2 x 79
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(930, 990) = 30690
GCD(930, 990) = ( 930 x 990 ) / 30690
GCD(930, 990) = 920700 / 30690
GCD(930, 990) = 30
Step2:
Here we consider the GCD from the above i.e. 30 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(30, 75) = 150
GCD(30, 75) = ( 30 x 75 ) / 150
GCD(30, 75) = 2250 / 150
GCD(30, 75) = 15
Step3:
Here we consider the GCD from the above i.e. 15 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 632) = 9480
GCD(15, 632) = ( 15 x 632 ) / 9480
GCD(15, 632) = 9480 / 9480
GCD(15, 632) = 1
GCD of 930, 990, 75, 632 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 930, 990, 75, 632?
GCD of 930, 990, 75, 632 is 1
2. Where do I get the detailed procedure to find GCD of 930, 990, 75, 632?
You can find a detailed procedure to find GCD of 930, 990, 75, 632 on our page.
3. How to find GCD of 930, 990, 75, 632 on a calculator?
You can find the GCD of 930, 990, 75, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.