GCD of 126, 864, 523, 653 Calculator

Given Input numbers are 126, 864, 523, 653

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 126, 864, 523, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 864, 523, 653 is 1.

Therefore, GCD of numbers 126, 864, 523, 653 is 1

Given Input Data is 126, 864, 523, 653

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 523 is 523

Prime Factorization of 653 is 653

The above numbers do not have any common prime factor. So GCD is 1

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(126, 864) = 6048

GCD(126, 864) = ( 126 x 864 ) / 6048

GCD(126, 864) = 108864 / 6048

GCD(126, 864) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 523

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

LCM(18, 523) = 9414

GCD(18, 523) = ( 18 x 523 ) / 9414

GCD(18, 523) = 9414 / 9414

GCD(18, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 126, 864, 523, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 418, 265, 120
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• GCD of 309, 264, 503, 352
• GCD of 344, 970, 523, 623
• GCD of 106, 131, 160, 544

1. What is the GCD of 126, 864, 523, 653?

GCD of 126, 864, 523, 653 is 1

2. Where do I get the detailed procedure to find GCD of 126, 864, 523, 653?

You can find a detailed procedure to find GCD of 126, 864, 523, 653 on our page.

3. How to find GCD of 126, 864, 523, 653 on a calculator?

You can find the GCD of 126, 864, 523, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.