GCD of 782, 544, 534 Calculator

Given Input numbers are 782, 544, 534

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Greatest Common Divisior

We found the divisors of 782, 544, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 544, 534 is 2.

Therefore, GCD of numbers 782, 544, 534 is 2

Given Input Data is 782, 544, 534

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 534 is 2 x 3 x 89

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(782, 544) = 12512

GCD(782, 544) = ( 782 x 544 ) / 12512

GCD(782, 544) = 425408 / 12512

GCD(782, 544) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 534

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

LCM(34, 534) = 9078

GCD(34, 534) = ( 34 x 534 ) / 9078

GCD(34, 534) = 18156 / 9078

GCD(34, 534) = 2

GCD of 782, 544, 534 is 2

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1. What is the GCD of 782, 544, 534?

GCD of 782, 544, 534 is 2

2. Where do I get the detailed procedure to find GCD of 782, 544, 534?

You can find a detailed procedure to find GCD of 782, 544, 534 on our page.

3. How to find GCD of 782, 544, 534 on a calculator?

You can find the GCD of 782, 544, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.