GCD of 446, 100, 698, 465 Calculator

Given Input numbers are 446, 100, 698, 465

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 446, 100, 698, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 100, 698, 465 is 1.

Therefore, GCD of numbers 446, 100, 698, 465 is 1

Given Input Data is 446, 100, 698, 465

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 698 is 2 x 349

Prime Factorization of 465 is 3 x 5 x 31

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, 100) = 22300

GCD(446, 100) = ( 446 x 100 ) / 22300

GCD(446, 100) = 44600 / 22300

GCD(446, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 446, 100, 698, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 205, 637, 697
• GCD of 462, 596, 824, 349
• GCD of 905, 390, 401, 602
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• GCD of 833, 583, 473, 549

1. What is the GCD of 446, 100, 698, 465?

GCD of 446, 100, 698, 465 is 1

2. Where do I get the detailed procedure to find GCD of 446, 100, 698, 465?

You can find a detailed procedure to find GCD of 446, 100, 698, 465 on our page.

3. How to find GCD of 446, 100, 698, 465 on a calculator?

You can find the GCD of 446, 100, 698, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.