GCD of 624, 501, 86, 342 Calculator

Given Input numbers are 624, 501, 86, 342

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 501

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

1, 3, 167, 501

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 624, 501, 86, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 501, 86, 342 is 1.

Therefore, GCD of numbers 624, 501, 86, 342 is 1

Given Input Data is 624, 501, 86, 342

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 501 is 3 x 167

Prime Factorization of 86 is 2 x 43

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(624, 501) = 104208

GCD(624, 501) = ( 624 x 501 ) / 104208

GCD(624, 501) = 312624 / 104208

GCD(624, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 624, 501, 86, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 821, 46, 516
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• GCD of 868, 492, 54, 639
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• GCD of 924, 755, 89, 356

1. What is the GCD of 624, 501, 86, 342?

GCD of 624, 501, 86, 342 is 1

2. Where do I get the detailed procedure to find GCD of 624, 501, 86, 342?

You can find a detailed procedure to find GCD of 624, 501, 86, 342 on our page.

3. How to find GCD of 624, 501, 86, 342 on a calculator?

You can find the GCD of 624, 501, 86, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.