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 344, 985, 123, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 985, 123, 948 is 1
GCD(344, 985, 123, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 985, 123, 948 is 1
GCD(344, 985, 123, 948) = 1
Given Input numbers are 344, 985, 123, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 344, 985, 123, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 985, 123, 948 is 1.
Therefore, GCD of numbers 344, 985, 123, 948 is 1
Given Input Data is 344, 985, 123, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 985 is 5 x 197
Prime Factorization of 123 is 3 x 41
Prime Factorization of 948 is 2 x 2 x 3 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(344, 985) = 338840
GCD(344, 985) = ( 344 x 985 ) / 338840
GCD(344, 985) = 338840 / 338840
GCD(344, 985) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 344, 985, 123, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 985, 123, 948?
GCD of 344, 985, 123, 948 is 1
2. Where do I get the detailed procedure to find GCD of 344, 985, 123, 948?
You can find a detailed procedure to find GCD of 344, 985, 123, 948 on our page.
3. How to find GCD of 344, 985, 123, 948 on a calculator?
You can find the GCD of 344, 985, 123, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.