GCD of 315, 143, 358, 106 Calculator

Given Input numbers are 315, 143, 358, 106

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 315, 143, 358, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 143, 358, 106 is 1.

Therefore, GCD of numbers 315, 143, 358, 106 is 1

Given Input Data is 315, 143, 358, 106

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 143 is 11 x 13

Prime Factorization of 358 is 2 x 179

Prime Factorization of 106 is 2 x 53

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(315, 143) = 45045

GCD(315, 143) = ( 315 x 143 ) / 45045

GCD(315, 143) = 45045 / 45045

GCD(315, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 315, 143, 358, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 297, 932, 776
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• GCD of 632, 944, 254, 317

1. What is the GCD of 315, 143, 358, 106?

GCD of 315, 143, 358, 106 is 1

2. Where do I get the detailed procedure to find GCD of 315, 143, 358, 106?

You can find a detailed procedure to find GCD of 315, 143, 358, 106 on our page.

3. How to find GCD of 315, 143, 358, 106 on a calculator?

You can find the GCD of 315, 143, 358, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.