GCD of 52, 496, 633, 734 Calculator

Given Input numbers are 52, 496, 633, 734

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 633

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

1, 3, 211, 633

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 52, 496, 633, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 496, 633, 734 is 1.

Therefore, GCD of numbers 52, 496, 633, 734 is 1

Given Input Data is 52, 496, 633, 734

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 633 is 3 x 211

Prime Factorization of 734 is 2 x 367

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(52, 496) = 6448

GCD(52, 496) = ( 52 x 496 ) / 6448

GCD(52, 496) = 25792 / 6448

GCD(52, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 633

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

LCM(4, 633) = 2532

GCD(4, 633) = ( 4 x 633 ) / 2532

GCD(4, 633) = 2532 / 2532

GCD(4, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 52, 496, 633, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 210, 422, 731
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• GCD of 81, 277, 271, 544
• GCD of 16, 732, 300, 465
• GCD of 95, 862, 812, 977

1. What is the GCD of 52, 496, 633, 734?

GCD of 52, 496, 633, 734 is 1

2. Where do I get the detailed procedure to find GCD of 52, 496, 633, 734?

You can find a detailed procedure to find GCD of 52, 496, 633, 734 on our page.

3. How to find GCD of 52, 496, 633, 734 on a calculator?

You can find the GCD of 52, 496, 633, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.