GCD of 501, 345, 31, 528 Calculator

Given Input numbers are 501, 345, 31, 528

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

Divisors of 501

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

1, 3, 167, 501

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 501, 345, 31, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 345, 31, 528 is 1.

Therefore, GCD of numbers 501, 345, 31, 528 is 1

Given Input Data is 501, 345, 31, 528

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 31 is 31

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(501, 345) = 57615

GCD(501, 345) = ( 501 x 345 ) / 57615

GCD(501, 345) = 172845 / 57615

GCD(501, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 501, 345, 31, 528 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 306, 77, 547
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• GCD of 926, 883, 84, 448
• GCD of 795, 311, 18, 139

1. What is the GCD of 501, 345, 31, 528?

GCD of 501, 345, 31, 528 is 1

2. Where do I get the detailed procedure to find GCD of 501, 345, 31, 528?

You can find a detailed procedure to find GCD of 501, 345, 31, 528 on our page.

3. How to find GCD of 501, 345, 31, 528 on a calculator?

You can find the GCD of 501, 345, 31, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.