GCD of 455, 678, 361, 868 Calculator

Given Input numbers are 455, 678, 361, 868

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 455, 678, 361, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 678, 361, 868 is 1.

Therefore, GCD of numbers 455, 678, 361, 868 is 1

Given Input Data is 455, 678, 361, 868

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 678 is 2 x 3 x 113

Prime Factorization of 361 is 19 x 19

Prime Factorization of 868 is 2 x 2 x 7 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(455, 678) = 308490

GCD(455, 678) = ( 455 x 678 ) / 308490

GCD(455, 678) = 308490 / 308490

GCD(455, 678) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 868

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

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

GCD(1, 868) = 868 / 868

GCD(1, 868) = 1

GCD of 455, 678, 361, 868 is 1

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1. What is the GCD of 455, 678, 361, 868?

GCD of 455, 678, 361, 868 is 1

2. Where do I get the detailed procedure to find GCD of 455, 678, 361, 868?

You can find a detailed procedure to find GCD of 455, 678, 361, 868 on our page.

3. How to find GCD of 455, 678, 361, 868 on a calculator?

You can find the GCD of 455, 678, 361, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.