GCD of 533, 676, 45, 642 Calculator

Given Input numbers are 533, 676, 45, 642

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 533, 676, 45, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 676, 45, 642 is 1.

Therefore, GCD of numbers 533, 676, 45, 642 is 1

Given Input Data is 533, 676, 45, 642

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 642 is 2 x 3 x 107

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(533, 676) = 27716

GCD(533, 676) = ( 533 x 676 ) / 27716

GCD(533, 676) = 360308 / 27716

GCD(533, 676) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 45

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

LCM(13, 45) = 585

GCD(13, 45) = ( 13 x 45 ) / 585

GCD(13, 45) = 585 / 585

GCD(13, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 533, 676, 45, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 647, 66, 121
• GCD of 684, 485, 70, 572
• GCD of 998, 827, 33, 295
• GCD of 645, 475, 35, 273
• GCD of 204, 274, 20, 874

1. What is the GCD of 533, 676, 45, 642?

GCD of 533, 676, 45, 642 is 1

2. Where do I get the detailed procedure to find GCD of 533, 676, 45, 642?

You can find a detailed procedure to find GCD of 533, 676, 45, 642 on our page.

3. How to find GCD of 533, 676, 45, 642 on a calculator?

You can find the GCD of 533, 676, 45, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.