GCD of 45, 752, 100, 395 Calculator

Given Input numbers are 45, 752, 100, 395

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 45, 752, 100, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 752, 100, 395 is 1.

Therefore, GCD of numbers 45, 752, 100, 395 is 1

Given Input Data is 45, 752, 100, 395

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

Prime Factorization of 45 is 3 x 3 x 5

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 395 is 5 x 79

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(45, 752) = 33840

GCD(45, 752) = ( 45 x 752 ) / 33840

GCD(45, 752) = 33840 / 33840

GCD(45, 752) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 45, 752, 100, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 216, 362, 250
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• GCD of 58, 718, 322, 778

1. What is the GCD of 45, 752, 100, 395?

GCD of 45, 752, 100, 395 is 1

2. Where do I get the detailed procedure to find GCD of 45, 752, 100, 395?

You can find a detailed procedure to find GCD of 45, 752, 100, 395 on our page.

3. How to find GCD of 45, 752, 100, 395 on a calculator?

You can find the GCD of 45, 752, 100, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.