GCD of 784, 465, 42, 673 Calculator

Given Input numbers are 784, 465, 42, 673

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

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 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Greatest Common Divisior

We found the divisors of 784, 465, 42, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 465, 42, 673 is 1.

Therefore, GCD of numbers 784, 465, 42, 673 is 1

Given Input Data is 784, 465, 42, 673

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 673 is 673

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(784, 465) = 364560

GCD(784, 465) = ( 784 x 465 ) / 364560

GCD(784, 465) = 364560 / 364560

GCD(784, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 673

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

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

GCD(1, 673) = 673 / 673

GCD(1, 673) = 1

GCD of 784, 465, 42, 673 is 1

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• GCD of 866, 718, 41, 796
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• GCD of 125, 422, 24, 141

1. What is the GCD of 784, 465, 42, 673?

GCD of 784, 465, 42, 673 is 1

2. Where do I get the detailed procedure to find GCD of 784, 465, 42, 673?

You can find a detailed procedure to find GCD of 784, 465, 42, 673 on our page.

3. How to find GCD of 784, 465, 42, 673 on a calculator?

You can find the GCD of 784, 465, 42, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.