GCD of 628, 742, 501, 538 Calculator

Given Input numbers are 628, 742, 501, 538

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 628, 742, 501, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 742, 501, 538 is 1.

Therefore, GCD of numbers 628, 742, 501, 538 is 1

Given Input Data is 628, 742, 501, 538

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 501 is 3 x 167

Prime Factorization of 538 is 2 x 269

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(628, 742) = 232988

GCD(628, 742) = ( 628 x 742 ) / 232988

GCD(628, 742) = 465976 / 232988

GCD(628, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 501

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

LCM(2, 501) = 1002

GCD(2, 501) = ( 2 x 501 ) / 1002

GCD(2, 501) = 1002 / 1002

GCD(2, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 628, 742, 501, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 931, 824, 753
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• GCD of 432, 730, 501, 492

1. What is the GCD of 628, 742, 501, 538?

GCD of 628, 742, 501, 538 is 1

2. Where do I get the detailed procedure to find GCD of 628, 742, 501, 538?

You can find a detailed procedure to find GCD of 628, 742, 501, 538 on our page.

3. How to find GCD of 628, 742, 501, 538 on a calculator?

You can find the GCD of 628, 742, 501, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.