GCD of 455, 322, 135, 715 Calculator

Given Input numbers are 455, 322, 135, 715

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

Divisors of 455

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

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 455, 322, 135, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 322, 135, 715 is 1.

Therefore, GCD of numbers 455, 322, 135, 715 is 1

Given Input Data is 455, 322, 135, 715

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 715 is 5 x 11 x 13

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(455, 322) = 20930

GCD(455, 322) = ( 455 x 322 ) / 20930

GCD(455, 322) = 146510 / 20930

GCD(455, 322) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 135

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

LCM(7, 135) = 945

GCD(7, 135) = ( 7 x 135 ) / 945

GCD(7, 135) = 945 / 945

GCD(7, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 455, 322, 135, 715 is 1

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1. What is the GCD of 455, 322, 135, 715?

GCD of 455, 322, 135, 715 is 1

2. Where do I get the detailed procedure to find GCD of 455, 322, 135, 715?

You can find a detailed procedure to find GCD of 455, 322, 135, 715 on our page.

3. How to find GCD of 455, 322, 135, 715 on a calculator?

You can find the GCD of 455, 322, 135, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.