GCD of 352, 655, 100, 403 Calculator

Given Input numbers are 352, 655, 100, 403

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 352, 655, 100, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 655, 100, 403 is 1.

Therefore, GCD of numbers 352, 655, 100, 403 is 1

Given Input Data is 352, 655, 100, 403

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 655 is 5 x 131

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 403 is 13 x 31

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(352, 655) = 230560

GCD(352, 655) = ( 352 x 655 ) / 230560

GCD(352, 655) = 230560 / 230560

GCD(352, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 352, 655, 100, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 423, 438, 243
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• GCD of 859, 164, 204, 813

1. What is the GCD of 352, 655, 100, 403?

GCD of 352, 655, 100, 403 is 1

2. Where do I get the detailed procedure to find GCD of 352, 655, 100, 403?

You can find a detailed procedure to find GCD of 352, 655, 100, 403 on our page.

3. How to find GCD of 352, 655, 100, 403 on a calculator?

You can find the GCD of 352, 655, 100, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.