GCD of 354, 159, 61, 224 Calculator

Given Input numbers are 354, 159, 61, 224

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 354, 159, 61, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 159, 61, 224 is 1.

Therefore, GCD of numbers 354, 159, 61, 224 is 1

Given Input Data is 354, 159, 61, 224

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 159 is 3 x 53

Prime Factorization of 61 is 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(354, 159) = 18762

GCD(354, 159) = ( 354 x 159 ) / 18762

GCD(354, 159) = 56286 / 18762

GCD(354, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 61

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

LCM(3, 61) = 183

GCD(3, 61) = ( 3 x 61 ) / 183

GCD(3, 61) = 183 / 183

GCD(3, 61) = 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 354, 159, 61, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 597, 63, 123
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• GCD of 911, 821, 92, 402

1. What is the GCD of 354, 159, 61, 224?

GCD of 354, 159, 61, 224 is 1

2. Where do I get the detailed procedure to find GCD of 354, 159, 61, 224?

You can find a detailed procedure to find GCD of 354, 159, 61, 224 on our page.

3. How to find GCD of 354, 159, 61, 224 on a calculator?

You can find the GCD of 354, 159, 61, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.