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 370, 317, 548, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 317, 548, 320 is 1
GCD(370, 317, 548, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 317, 548, 320 is 1
GCD(370, 317, 548, 320) = 1
Given Input numbers are 370, 317, 548, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 370, 317, 548, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 317, 548, 320 is 1.
Therefore, GCD of numbers 370, 317, 548, 320 is 1
Given Input Data is 370, 317, 548, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 317 is 317
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 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(370, 317) = 117290
GCD(370, 317) = ( 370 x 317 ) / 117290
GCD(370, 317) = 117290 / 117290
GCD(370, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 370, 317, 548, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 317, 548, 320?
GCD of 370, 317, 548, 320 is 1
2. Where do I get the detailed procedure to find GCD of 370, 317, 548, 320?
You can find a detailed procedure to find GCD of 370, 317, 548, 320 on our page.
3. How to find GCD of 370, 317, 548, 320 on a calculator?
You can find the GCD of 370, 317, 548, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.