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 320, 486, 601, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 486, 601, 737 is 1
GCD(320, 486, 601, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 486, 601, 737 is 1
GCD(320, 486, 601, 737) = 1
Given Input numbers are 320, 486, 601, 737
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 320, 486, 601, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 486, 601, 737 is 1.
Therefore, GCD of numbers 320, 486, 601, 737 is 1
Given Input Data is 320, 486, 601, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 601 is 601
Prime Factorization of 737 is 11 x 67
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(320, 486) = 77760
GCD(320, 486) = ( 320 x 486 ) / 77760
GCD(320, 486) = 155520 / 77760
GCD(320, 486) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 601) = 1202
GCD(2, 601) = ( 2 x 601 ) / 1202
GCD(2, 601) = 1202 / 1202
GCD(2, 601) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 320, 486, 601, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 486, 601, 737?
GCD of 320, 486, 601, 737 is 1
2. Where do I get the detailed procedure to find GCD of 320, 486, 601, 737?
You can find a detailed procedure to find GCD of 320, 486, 601, 737 on our page.
3. How to find GCD of 320, 486, 601, 737 on a calculator?
You can find the GCD of 320, 486, 601, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.