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 890, 319, 99, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 319, 99, 132 is 1
GCD(890, 319, 99, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 319, 99, 132 is 1
GCD(890, 319, 99, 132) = 1
Given Input numbers are 890, 319, 99, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 890, 319, 99, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 319, 99, 132 is 1.
Therefore, GCD of numbers 890, 319, 99, 132 is 1
Given Input Data is 890, 319, 99, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 319 is 11 x 29
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(890, 319) = 283910
GCD(890, 319) = ( 890 x 319 ) / 283910
GCD(890, 319) = 283910 / 283910
GCD(890, 319) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 890, 319, 99, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 319, 99, 132?
GCD of 890, 319, 99, 132 is 1
2. Where do I get the detailed procedure to find GCD of 890, 319, 99, 132?
You can find a detailed procedure to find GCD of 890, 319, 99, 132 on our page.
3. How to find GCD of 890, 319, 99, 132 on a calculator?
You can find the GCD of 890, 319, 99, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.