GCD of 315, 640, 455 Calculator

Given Input numbers are 315, 640, 455

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 315, 640, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 640, 455 is 5.

Therefore, GCD of numbers 315, 640, 455 is 5

Given Input Data is 315, 640, 455

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 455 is 5 x 7 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(315, 640) = 40320

GCD(315, 640) = ( 315 x 640 ) / 40320

GCD(315, 640) = 201600 / 40320

GCD(315, 640) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 455

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

LCM(5, 455) = 455

GCD(5, 455) = ( 5 x 455 ) / 455

GCD(5, 455) = 2275 / 455

GCD(5, 455) = 5

GCD of 315, 640, 455 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 583, 431
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• GCD of 705, 203, 856
• GCD of 852, 880, 859
• GCD of 747, 320, 176

1. What is the GCD of 315, 640, 455?

GCD of 315, 640, 455 is 5

2. Where do I get the detailed procedure to find GCD of 315, 640, 455?

You can find a detailed procedure to find GCD of 315, 640, 455 on our page.

3. How to find GCD of 315, 640, 455 on a calculator?

You can find the GCD of 315, 640, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.