GCD of 576, 946, 826, 784 Calculator

Given Input numbers are 576, 946, 826, 784

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 576, 946, 826, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 946, 826, 784 is 2.

Therefore, GCD of numbers 576, 946, 826, 784 is 2

Given Input Data is 576, 946, 826, 784

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(576, 946) = 272448

GCD(576, 946) = ( 576 x 946 ) / 272448

GCD(576, 946) = 544896 / 272448

GCD(576, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 826

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

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

GCD(2, 826) = 1652 / 826

GCD(2, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 576, 946, 826, 784 is 2

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1. What is the GCD of 576, 946, 826, 784?

GCD of 576, 946, 826, 784 is 2

2. Where do I get the detailed procedure to find GCD of 576, 946, 826, 784?

You can find a detailed procedure to find GCD of 576, 946, 826, 784 on our page.

3. How to find GCD of 576, 946, 826, 784 on a calculator?

You can find the GCD of 576, 946, 826, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.