GCD of 46, 357, 974, 449 Calculator

Given Input numbers are 46, 357, 974, 449

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 974

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

1, 2, 487, 974

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 46, 357, 974, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 357, 974, 449 is 1.

Therefore, GCD of numbers 46, 357, 974, 449 is 1

Given Input Data is 46, 357, 974, 449

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 974 is 2 x 487

Prime Factorization of 449 is 449

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(46, 357) = 16422

GCD(46, 357) = ( 46 x 357 ) / 16422

GCD(46, 357) = 16422 / 16422

GCD(46, 357) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 46, 357, 974, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 241, 228, 889
• GCD of 49, 549, 376, 624
• GCD of 19, 896, 815, 163
• GCD of 69, 334, 778, 352
• GCD of 26, 167, 361, 889

1. What is the GCD of 46, 357, 974, 449?

GCD of 46, 357, 974, 449 is 1

2. Where do I get the detailed procedure to find GCD of 46, 357, 974, 449?

You can find a detailed procedure to find GCD of 46, 357, 974, 449 on our page.

3. How to find GCD of 46, 357, 974, 449 on a calculator?

You can find the GCD of 46, 357, 974, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.