GCD of 446, 616, 357, 919 Calculator

Given Input numbers are 446, 616, 357, 919

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 446, 616, 357, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 616, 357, 919 is 1.

Therefore, GCD of numbers 446, 616, 357, 919 is 1

Given Input Data is 446, 616, 357, 919

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 919 is 919

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(446, 616) = 137368

GCD(446, 616) = ( 446 x 616 ) / 137368

GCD(446, 616) = 274736 / 137368

GCD(446, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 446, 616, 357, 919 is 1

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1. What is the GCD of 446, 616, 357, 919?

GCD of 446, 616, 357, 919 is 1

2. Where do I get the detailed procedure to find GCD of 446, 616, 357, 919?

You can find a detailed procedure to find GCD of 446, 616, 357, 919 on our page.

3. How to find GCD of 446, 616, 357, 919 on a calculator?

You can find the GCD of 446, 616, 357, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.