GCD of 42, 690, 288, 359 Calculator

Given Input numbers are 42, 690, 288, 359

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 42, 690, 288, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 690, 288, 359 is 1.

Therefore, GCD of numbers 42, 690, 288, 359 is 1

Given Input Data is 42, 690, 288, 359

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 359 is 359

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(42, 690) = 4830

GCD(42, 690) = ( 42 x 690 ) / 4830

GCD(42, 690) = 28980 / 4830

GCD(42, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 288

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

LCM(6, 288) = 288

GCD(6, 288) = ( 6 x 288 ) / 288

GCD(6, 288) = 1728 / 288

GCD(6, 288) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 359

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

LCM(6, 359) = 2154

GCD(6, 359) = ( 6 x 359 ) / 2154

GCD(6, 359) = 2154 / 2154

GCD(6, 359) = 1

GCD of 42, 690, 288, 359 is 1

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• GCD of 42, 215, 614, 726
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1. What is the GCD of 42, 690, 288, 359?

GCD of 42, 690, 288, 359 is 1

2. Where do I get the detailed procedure to find GCD of 42, 690, 288, 359?

You can find a detailed procedure to find GCD of 42, 690, 288, 359 on our page.

3. How to find GCD of 42, 690, 288, 359 on a calculator?

You can find the GCD of 42, 690, 288, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.