GCD of 942, 324, 26, 687 Calculator

Given Input numbers are 942, 324, 26, 687

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 942, 324, 26, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 324, 26, 687 is 1.

Therefore, GCD of numbers 942, 324, 26, 687 is 1

Given Input Data is 942, 324, 26, 687

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 26 is 2 x 13

Prime Factorization of 687 is 3 x 229

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(942, 324) = 50868

GCD(942, 324) = ( 942 x 324 ) / 50868

GCD(942, 324) = 305208 / 50868

GCD(942, 324) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 26

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

LCM(6, 26) = 78

GCD(6, 26) = ( 6 x 26 ) / 78

GCD(6, 26) = 156 / 78

GCD(6, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 942, 324, 26, 687 is 1

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1. What is the GCD of 942, 324, 26, 687?

GCD of 942, 324, 26, 687 is 1

2. Where do I get the detailed procedure to find GCD of 942, 324, 26, 687?

You can find a detailed procedure to find GCD of 942, 324, 26, 687 on our page.

3. How to find GCD of 942, 324, 26, 687 on a calculator?

You can find the GCD of 942, 324, 26, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.