GCD of 408, 542, 672, 708 Calculator

Given Input numbers are 408, 542, 672, 708

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 542

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

1, 2, 271, 542

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 408, 542, 672, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 542, 672, 708 is 2.

Therefore, GCD of numbers 408, 542, 672, 708 is 2

Given Input Data is 408, 542, 672, 708

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 542 is 2 x 271

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(408, 542) = 110568

GCD(408, 542) = ( 408 x 542 ) / 110568

GCD(408, 542) = 221136 / 110568

GCD(408, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 408, 542, 672, 708 is 2

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1. What is the GCD of 408, 542, 672, 708?

GCD of 408, 542, 672, 708 is 2

2. Where do I get the detailed procedure to find GCD of 408, 542, 672, 708?

You can find a detailed procedure to find GCD of 408, 542, 672, 708 on our page.

3. How to find GCD of 408, 542, 672, 708 on a calculator?

You can find the GCD of 408, 542, 672, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.