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 923, 490, 99, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 923, 490, 99, 970 is 1
GCD(923, 490, 99, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 923, 490, 99, 970 is 1
GCD(923, 490, 99, 970) = 1
Given Input numbers are 923, 490, 99, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 923, 490, 99, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 490, 99, 970 is 1.
Therefore, GCD of numbers 923, 490, 99, 970 is 1
Given Input Data is 923, 490, 99, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 923 is 13 x 71
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 970 is 2 x 5 x 97
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(923, 490) = 452270
GCD(923, 490) = ( 923 x 490 ) / 452270
GCD(923, 490) = 452270 / 452270
GCD(923, 490) = 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 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
GCD of 923, 490, 99, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 923, 490, 99, 970?
GCD of 923, 490, 99, 970 is 1
2. Where do I get the detailed procedure to find GCD of 923, 490, 99, 970?
You can find a detailed procedure to find GCD of 923, 490, 99, 970 on our page.
3. How to find GCD of 923, 490, 99, 970 on a calculator?
You can find the GCD of 923, 490, 99, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.