GCD of 532, 784, 264, 454 Calculator

Given Input numbers are 532, 784, 264, 454

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 532, 784, 264, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 784, 264, 454 is 2.

Therefore, GCD of numbers 532, 784, 264, 454 is 2

Given Input Data is 532, 784, 264, 454

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 454 is 2 x 227

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(532, 784) = 14896

GCD(532, 784) = ( 532 x 784 ) / 14896

GCD(532, 784) = 417088 / 14896

GCD(532, 784) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 264

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

LCM(28, 264) = 1848

GCD(28, 264) = ( 28 x 264 ) / 1848

GCD(28, 264) = 7392 / 1848

GCD(28, 264) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 454

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

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

GCD(4, 454) = 1816 / 908

GCD(4, 454) = 2

GCD of 532, 784, 264, 454 is 2

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• GCD of 640, 167, 732, 380
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1. What is the GCD of 532, 784, 264, 454?

GCD of 532, 784, 264, 454 is 2

2. Where do I get the detailed procedure to find GCD of 532, 784, 264, 454?

You can find a detailed procedure to find GCD of 532, 784, 264, 454 on our page.

3. How to find GCD of 532, 784, 264, 454 on a calculator?

You can find the GCD of 532, 784, 264, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.