GCD of 45, 910, 432, 752 Calculator

Given Input numbers are 45, 910, 432, 752

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 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 45, 910, 432, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 910, 432, 752 is 1.

Therefore, GCD of numbers 45, 910, 432, 752 is 1

Given Input Data is 45, 910, 432, 752

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 910 is 2 x 5 x 7 x 13

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(45, 910) = 8190

GCD(45, 910) = ( 45 x 910 ) / 8190

GCD(45, 910) = 40950 / 8190

GCD(45, 910) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 432

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

LCM(5, 432) = 2160

GCD(5, 432) = ( 5 x 432 ) / 2160

GCD(5, 432) = 2160 / 2160

GCD(5, 432) = 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 45, 910, 432, 752 is 1

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1. What is the GCD of 45, 910, 432, 752?

GCD of 45, 910, 432, 752 is 1

2. Where do I get the detailed procedure to find GCD of 45, 910, 432, 752?

You can find a detailed procedure to find GCD of 45, 910, 432, 752 on our page.

3. How to find GCD of 45, 910, 432, 752 on a calculator?

You can find the GCD of 45, 910, 432, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.