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, 752, 57, 937 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 752, 57, 937 is 1
GCD(320, 752, 57, 937) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 752, 57, 937 is 1
GCD(320, 752, 57, 937) = 1
Given Input numbers are 320, 752, 57, 937
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 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Greatest Common Divisior
We found the divisors of 320, 752, 57, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 752, 57, 937 is 1.
Therefore, GCD of numbers 320, 752, 57, 937 is 1
Given Input Data is 320, 752, 57, 937
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 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 57 is 3 x 19
Prime Factorization of 937 is 937
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, 752) = 15040
GCD(320, 752) = ( 320 x 752 ) / 15040
GCD(320, 752) = 240640 / 15040
GCD(320, 752) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 57) = 912
GCD(16, 57) = ( 16 x 57 ) / 912
GCD(16, 57) = 912 / 912
GCD(16, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 937) = 937
GCD(1, 937) = ( 1 x 937 ) / 937
GCD(1, 937) = 937 / 937
GCD(1, 937) = 1
GCD of 320, 752, 57, 937 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 752, 57, 937?
GCD of 320, 752, 57, 937 is 1
2. Where do I get the detailed procedure to find GCD of 320, 752, 57, 937?
You can find a detailed procedure to find GCD of 320, 752, 57, 937 on our page.
3. How to find GCD of 320, 752, 57, 937 on a calculator?
You can find the GCD of 320, 752, 57, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.