GCD of 542, 640, 862, 756 Calculator

Given Input numbers are 542, 640, 862, 756

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 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 542, 640, 862, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 640, 862, 756 is 2.

Therefore, GCD of numbers 542, 640, 862, 756 is 2

Given Input Data is 542, 640, 862, 756

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 862 is 2 x 431

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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, 640) = 173440

GCD(542, 640) = ( 542 x 640 ) / 173440

GCD(542, 640) = 346880 / 173440

GCD(542, 640) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 542, 640, 862, 756 is 2

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1. What is the GCD of 542, 640, 862, 756?

GCD of 542, 640, 862, 756 is 2

2. Where do I get the detailed procedure to find GCD of 542, 640, 862, 756?

You can find a detailed procedure to find GCD of 542, 640, 862, 756 on our page.

3. How to find GCD of 542, 640, 862, 756 on a calculator?

You can find the GCD of 542, 640, 862, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.