GCD of 542, 218, 672, 714 Calculator

Given Input numbers are 542, 218, 672, 714

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

Divisors of 542

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

1, 2, 271, 542

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 542, 218, 672, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 218, 672, 714 is 2.

Therefore, GCD of numbers 542, 218, 672, 714 is 2

Given Input Data is 542, 218, 672, 714

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 218 is 2 x 109

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(542, 218) = 59078

GCD(542, 218) = ( 542 x 218 ) / 59078

GCD(542, 218) = 118156 / 59078

GCD(542, 218) = 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 714

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

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

GCD(2, 714) = 1428 / 714

GCD(2, 714) = 2

GCD of 542, 218, 672, 714 is 2

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1. What is the GCD of 542, 218, 672, 714?

GCD of 542, 218, 672, 714 is 2

2. Where do I get the detailed procedure to find GCD of 542, 218, 672, 714?

You can find a detailed procedure to find GCD of 542, 218, 672, 714 on our page.

3. How to find GCD of 542, 218, 672, 714 on a calculator?

You can find the GCD of 542, 218, 672, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.