GCD of 357, 841, 305, 224 Calculator

Given Input numbers are 357, 841, 305, 224

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 357, 841, 305, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 841, 305, 224 is 1.

Therefore, GCD of numbers 357, 841, 305, 224 is 1

Given Input Data is 357, 841, 305, 224

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 841 is 29 x 29

Prime Factorization of 305 is 5 x 61

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(357, 841) = 300237

GCD(357, 841) = ( 357 x 841 ) / 300237

GCD(357, 841) = 300237 / 300237

GCD(357, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 357, 841, 305, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 312, 118, 870
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• GCD of 519, 280, 969, 671

1. What is the GCD of 357, 841, 305, 224?

GCD of 357, 841, 305, 224 is 1

2. Where do I get the detailed procedure to find GCD of 357, 841, 305, 224?

You can find a detailed procedure to find GCD of 357, 841, 305, 224 on our page.

3. How to find GCD of 357, 841, 305, 224 on a calculator?

You can find the GCD of 357, 841, 305, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.