GCD of 42, 974, 321, 224 Calculator

Given Input numbers are 42, 974, 321, 224

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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 42, 974, 321, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 974, 321, 224 is 1.

Therefore, GCD of numbers 42, 974, 321, 224 is 1

Given Input Data is 42, 974, 321, 224

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 974 is 2 x 487

Prime Factorization of 321 is 3 x 107

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(42, 974) = 20454

GCD(42, 974) = ( 42 x 974 ) / 20454

GCD(42, 974) = 40908 / 20454

GCD(42, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 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 42, 974, 321, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 942, 125, 600
• GCD of 79, 309, 541, 587
• GCD of 42, 224, 831, 247
• GCD of 33, 308, 823, 825
• GCD of 74, 514, 170, 836

1. What is the GCD of 42, 974, 321, 224?

GCD of 42, 974, 321, 224 is 1

2. Where do I get the detailed procedure to find GCD of 42, 974, 321, 224?

You can find a detailed procedure to find GCD of 42, 974, 321, 224 on our page.

3. How to find GCD of 42, 974, 321, 224 on a calculator?

You can find the GCD of 42, 974, 321, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.