GCD of 672, 542, 81, 402 Calculator

Given Input numbers are 672, 542, 81, 402

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 672, 542, 81, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 542, 81, 402 is 1.

Therefore, GCD of numbers 672, 542, 81, 402 is 1

Given Input Data is 672, 542, 81, 402

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 542 is 2 x 271

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 402 is 2 x 3 x 67

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, 542) = 182112

GCD(672, 542) = ( 672 x 542 ) / 182112

GCD(672, 542) = 364224 / 182112

GCD(672, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 672, 542, 81, 402 is 1

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1. What is the GCD of 672, 542, 81, 402?

GCD of 672, 542, 81, 402 is 1

2. Where do I get the detailed procedure to find GCD of 672, 542, 81, 402?

You can find a detailed procedure to find GCD of 672, 542, 81, 402 on our page.

3. How to find GCD of 672, 542, 81, 402 on a calculator?

You can find the GCD of 672, 542, 81, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.