GCD of 740, 432, 474, 445 Calculator

Given Input numbers are 740, 432, 474, 445

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 740, 432, 474, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 432, 474, 445 is 1.

Therefore, GCD of numbers 740, 432, 474, 445 is 1

Given Input Data is 740, 432, 474, 445

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 445 is 5 x 89

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(740, 432) = 79920

GCD(740, 432) = ( 740 x 432 ) / 79920

GCD(740, 432) = 319680 / 79920

GCD(740, 432) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 474

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

LCM(4, 474) = 948

GCD(4, 474) = ( 4 x 474 ) / 948

GCD(4, 474) = 1896 / 948

GCD(4, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

GCD of 740, 432, 474, 445 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 158, 931, 293
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• GCD of 859, 880, 572, 947

1. What is the GCD of 740, 432, 474, 445?

GCD of 740, 432, 474, 445 is 1

2. Where do I get the detailed procedure to find GCD of 740, 432, 474, 445?

You can find a detailed procedure to find GCD of 740, 432, 474, 445 on our page.

3. How to find GCD of 740, 432, 474, 445 on a calculator?

You can find the GCD of 740, 432, 474, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.