GCD of 264, 748, 497, 633 Calculator

Given Input numbers are 264, 748, 497, 633

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

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 264, 748, 497, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 748, 497, 633 is 1.

Therefore, GCD of numbers 264, 748, 497, 633 is 1

Given Input Data is 264, 748, 497, 633

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

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 497 is 7 x 71

Prime Factorization of 633 is 3 x 211

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(264, 748) = 4488

GCD(264, 748) = ( 264 x 748 ) / 4488

GCD(264, 748) = 197472 / 4488

GCD(264, 748) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 497

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

LCM(44, 497) = 21868

GCD(44, 497) = ( 44 x 497 ) / 21868

GCD(44, 497) = 21868 / 21868

GCD(44, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 264, 748, 497, 633 is 1

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• GCD of 516, 782, 488, 202
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1. What is the GCD of 264, 748, 497, 633?

GCD of 264, 748, 497, 633 is 1

2. Where do I get the detailed procedure to find GCD of 264, 748, 497, 633?

You can find a detailed procedure to find GCD of 264, 748, 497, 633 on our page.

3. How to find GCD of 264, 748, 497, 633 on a calculator?

You can find the GCD of 264, 748, 497, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.