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 337, 847, 27, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 337, 847, 27, 120 is 1
GCD(337, 847, 27, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 337, 847, 27, 120 is 1
GCD(337, 847, 27, 120) = 1
Given Input numbers are 337, 847, 27, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 337, 847, 27, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 847, 27, 120 is 1.
Therefore, GCD of numbers 337, 847, 27, 120 is 1
Given Input Data is 337, 847, 27, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 337 is 337
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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(337, 847) = 285439
GCD(337, 847) = ( 337 x 847 ) / 285439
GCD(337, 847) = 285439 / 285439
GCD(337, 847) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 337, 847, 27, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 337, 847, 27, 120?
GCD of 337, 847, 27, 120 is 1
2. Where do I get the detailed procedure to find GCD of 337, 847, 27, 120?
You can find a detailed procedure to find GCD of 337, 847, 27, 120 on our page.
3. How to find GCD of 337, 847, 27, 120 on a calculator?
You can find the GCD of 337, 847, 27, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.