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, 60, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 344, 985, 60, 101 is 1
GCD(344, 985, 60, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 344, 985, 60, 101 is 1
GCD(344, 985, 60, 101) = 1
Given Input numbers are 344, 985, 60, 101
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 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 344, 985, 60, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 985, 60, 101 is 1.
Therefore, GCD of numbers 344, 985, 60, 101 is 1
Given Input Data is 344, 985, 60, 101
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 60 is 2 x 2 x 3 x 5
Prime Factorization of 101 is 101
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 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 344, 985, 60, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 344, 985, 60, 101?
GCD of 344, 985, 60, 101 is 1
2. Where do I get the detailed procedure to find GCD of 344, 985, 60, 101?
You can find a detailed procedure to find GCD of 344, 985, 60, 101 on our page.
3. How to find GCD of 344, 985, 60, 101 on a calculator?
You can find the GCD of 344, 985, 60, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.