GCD of 67, 896, 438, 497 Calculator

Given Input numbers are 67, 896, 438, 497

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 67, 896, 438, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 896, 438, 497 is 1.

Therefore, GCD of numbers 67, 896, 438, 497 is 1

Given Input Data is 67, 896, 438, 497

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

Prime Factorization of 67 is 67

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 497 is 7 x 71

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(67, 896) = 60032

GCD(67, 896) = ( 67 x 896 ) / 60032

GCD(67, 896) = 60032 / 60032

GCD(67, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 67, 896, 438, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 313, 838, 212
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1. What is the GCD of 67, 896, 438, 497?

GCD of 67, 896, 438, 497 is 1

2. Where do I get the detailed procedure to find GCD of 67, 896, 438, 497?

You can find a detailed procedure to find GCD of 67, 896, 438, 497 on our page.

3. How to find GCD of 67, 896, 438, 497 on a calculator?

You can find the GCD of 67, 896, 438, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.