GCD of 672, 909, 42, 430 Calculator

Given Input numbers are 672, 909, 42, 430

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

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 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 672, 909, 42, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 909, 42, 430 is 1.

Therefore, GCD of numbers 672, 909, 42, 430 is 1

Given Input Data is 672, 909, 42, 430

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

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 430 is 2 x 5 x 43

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(672, 909) = 203616

GCD(672, 909) = ( 672 x 909 ) / 203616

GCD(672, 909) = 610848 / 203616

GCD(672, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 430

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

LCM(3, 430) = 1290

GCD(3, 430) = ( 3 x 430 ) / 1290

GCD(3, 430) = 1290 / 1290

GCD(3, 430) = 1

GCD of 672, 909, 42, 430 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 125, 47, 253
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• GCD of 625, 291, 82, 493
• GCD of 821, 550, 38, 514
• GCD of 172, 776, 40, 748

1. What is the GCD of 672, 909, 42, 430?

GCD of 672, 909, 42, 430 is 1

2. Where do I get the detailed procedure to find GCD of 672, 909, 42, 430?

You can find a detailed procedure to find GCD of 672, 909, 42, 430 on our page.

3. How to find GCD of 672, 909, 42, 430 on a calculator?

You can find the GCD of 672, 909, 42, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.