GCD of 457, 435, 400, 363 Calculator

Given Input numbers are 457, 435, 400, 363

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 457, 435, 400, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 435, 400, 363 is 1.

Therefore, GCD of numbers 457, 435, 400, 363 is 1

Given Input Data is 457, 435, 400, 363

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

Prime Factorization of 457 is 457

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 363 is 3 x 11 x 11

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(457, 435) = 198795

GCD(457, 435) = ( 457 x 435 ) / 198795

GCD(457, 435) = 198795 / 198795

GCD(457, 435) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 457, 435, 400, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 918, 480, 626
• GCD of 658, 859, 545, 244
• GCD of 156, 524, 427, 583
• GCD of 817, 613, 314, 923
• GCD of 593, 380, 907, 179

1. What is the GCD of 457, 435, 400, 363?

GCD of 457, 435, 400, 363 is 1

2. Where do I get the detailed procedure to find GCD of 457, 435, 400, 363?

You can find a detailed procedure to find GCD of 457, 435, 400, 363 on our page.

3. How to find GCD of 457, 435, 400, 363 on a calculator?

You can find the GCD of 457, 435, 400, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.