GCD of 778, 542, 16, 716 Calculator

Given Input numbers are 778, 542, 16, 716

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 542

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

1, 2, 271, 542

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 778, 542, 16, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 542, 16, 716 is 2.

Therefore, GCD of numbers 778, 542, 16, 716 is 2

Given Input Data is 778, 542, 16, 716

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 542 is 2 x 271

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 716 is 2 x 2 x 179

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(778, 542) = 210838

GCD(778, 542) = ( 778 x 542 ) / 210838

GCD(778, 542) = 421676 / 210838

GCD(778, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

GCD of 778, 542, 16, 716 is 2

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1. What is the GCD of 778, 542, 16, 716?

GCD of 778, 542, 16, 716 is 2

2. Where do I get the detailed procedure to find GCD of 778, 542, 16, 716?

You can find a detailed procedure to find GCD of 778, 542, 16, 716 on our page.

3. How to find GCD of 778, 542, 16, 716 on a calculator?

You can find the GCD of 778, 542, 16, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.