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 922, 138, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 922, 138, 953 is 1
GCD(922, 138, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 922, 138, 953 is 1
GCD(922, 138, 953) = 1
Given Input numbers are 922, 138, 953
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 922, 138, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 138, 953 is 1.
Therefore, GCD of numbers 922, 138, 953 is 1
Given Input Data is 922, 138, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 922 is 2 x 461
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 953 is 953
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(922, 138) = 63618
GCD(922, 138) = ( 922 x 138 ) / 63618
GCD(922, 138) = 127236 / 63618
GCD(922, 138) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 953) = 1906
GCD(2, 953) = ( 2 x 953 ) / 1906
GCD(2, 953) = 1906 / 1906
GCD(2, 953) = 1
GCD of 922, 138, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 922, 138, 953?
GCD of 922, 138, 953 is 1
2. Where do I get the detailed procedure to find GCD of 922, 138, 953?
You can find a detailed procedure to find GCD of 922, 138, 953 on our page.
3. How to find GCD of 922, 138, 953 on a calculator?
You can find the GCD of 922, 138, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.