GCD of 562, 976, 64, 728 Calculator

Given Input numbers are 562, 976, 64, 728

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 562, 976, 64, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 976, 64, 728 is 2.

Therefore, GCD of numbers 562, 976, 64, 728 is 2

Given Input Data is 562, 976, 64, 728

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(562, 976) = 274256

GCD(562, 976) = ( 562 x 976 ) / 274256

GCD(562, 976) = 548512 / 274256

GCD(562, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 728

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

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

GCD(2, 728) = 1456 / 728

GCD(2, 728) = 2

GCD of 562, 976, 64, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 281, 98, 226
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• GCD of 303, 241, 14, 383

1. What is the GCD of 562, 976, 64, 728?

GCD of 562, 976, 64, 728 is 2

2. Where do I get the detailed procedure to find GCD of 562, 976, 64, 728?

You can find a detailed procedure to find GCD of 562, 976, 64, 728 on our page.

3. How to find GCD of 562, 976, 64, 728 on a calculator?

You can find the GCD of 562, 976, 64, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.