GCD of 310, 375, 32, 752 Calculator

Given Input numbers are 310, 375, 32, 752

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 310, 375, 32, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 375, 32, 752 is 1.

Therefore, GCD of numbers 310, 375, 32, 752 is 1

Given Input Data is 310, 375, 32, 752

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(310, 375) = 23250

GCD(310, 375) = ( 310 x 375 ) / 23250

GCD(310, 375) = 116250 / 23250

GCD(310, 375) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 32

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 32) = 160

GCD(5, 32) = ( 5 x 32 ) / 160

GCD(5, 32) = 160 / 160

GCD(5, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 310, 375, 32, 752 is 1

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• GCD of 482, 281, 43, 523
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1. What is the GCD of 310, 375, 32, 752?

GCD of 310, 375, 32, 752 is 1

2. Where do I get the detailed procedure to find GCD of 310, 375, 32, 752?

You can find a detailed procedure to find GCD of 310, 375, 32, 752 on our page.

3. How to find GCD of 310, 375, 32, 752 on a calculator?

You can find the GCD of 310, 375, 32, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.