GCD of 501, 672, 15, 943 Calculator

Given Input numbers are 501, 672, 15, 943

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 501, 672, 15, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 672, 15, 943 is 1.

Therefore, GCD of numbers 501, 672, 15, 943 is 1

Given Input Data is 501, 672, 15, 943

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 943 is 23 x 41

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, 672) = 112224

GCD(501, 672) = ( 501 x 672 ) / 112224

GCD(501, 672) = 336672 / 112224

GCD(501, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 943

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

LCM(3, 943) = 2829

GCD(3, 943) = ( 3 x 943 ) / 2829

GCD(3, 943) = 2829 / 2829

GCD(3, 943) = 1

GCD of 501, 672, 15, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 534, 71, 268
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• GCD of 650, 854, 79, 637
• GCD of 643, 441, 45, 310
• GCD of 953, 512, 13, 850

1. What is the GCD of 501, 672, 15, 943?

GCD of 501, 672, 15, 943 is 1

2. Where do I get the detailed procedure to find GCD of 501, 672, 15, 943?

You can find a detailed procedure to find GCD of 501, 672, 15, 943 on our page.

3. How to find GCD of 501, 672, 15, 943 on a calculator?

You can find the GCD of 501, 672, 15, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.