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 385, 737, 32, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 385, 737, 32, 540 is 1
GCD(385, 737, 32, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 385, 737, 32, 540 is 1
GCD(385, 737, 32, 540) = 1
Given Input numbers are 385, 737, 32, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 385, 737, 32, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 737, 32, 540 is 1.
Therefore, GCD of numbers 385, 737, 32, 540 is 1
Given Input Data is 385, 737, 32, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 737 is 11 x 67
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 540 is 2 x 2 x 3 x 3 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(385, 737) = 25795
GCD(385, 737) = ( 385 x 737 ) / 25795
GCD(385, 737) = 283745 / 25795
GCD(385, 737) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 32) = 352
GCD(11, 32) = ( 11 x 32 ) / 352
GCD(11, 32) = 352 / 352
GCD(11, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 385, 737, 32, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 385, 737, 32, 540?
GCD of 385, 737, 32, 540 is 1
2. Where do I get the detailed procedure to find GCD of 385, 737, 32, 540?
You can find a detailed procedure to find GCD of 385, 737, 32, 540 on our page.
3. How to find GCD of 385, 737, 32, 540 on a calculator?
You can find the GCD of 385, 737, 32, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.