GCD of 437, 672, 23, 742 Calculator

Given Input numbers are 437, 672, 23, 742

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

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 437, 672, 23, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 672, 23, 742 is 1.

Therefore, GCD of numbers 437, 672, 23, 742 is 1

Given Input Data is 437, 672, 23, 742

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

Prime Factorization of 437 is 19 x 23

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 23 is 23

Prime Factorization of 742 is 2 x 7 x 53

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(437, 672) = 293664

GCD(437, 672) = ( 437 x 672 ) / 293664

GCD(437, 672) = 293664 / 293664

GCD(437, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 437, 672, 23, 742 is 1

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• GCD of 903, 733, 84, 590

1. What is the GCD of 437, 672, 23, 742?

GCD of 437, 672, 23, 742 is 1

2. Where do I get the detailed procedure to find GCD of 437, 672, 23, 742?

You can find a detailed procedure to find GCD of 437, 672, 23, 742 on our page.

3. How to find GCD of 437, 672, 23, 742 on a calculator?

You can find the GCD of 437, 672, 23, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.