GCD of 455, 105, 84, 105 Calculator

Given Input numbers are 455, 105, 84, 105

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 455, 105, 84, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 105, 84, 105 is 7.

Therefore, GCD of numbers 455, 105, 84, 105 is 7

Given Input Data is 455, 105, 84, 105

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 105 is 3 x 5 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 105 is 3 x 5 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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, 105) = 1365

GCD(455, 105) = ( 455 x 105 ) / 1365

GCD(455, 105) = 47775 / 1365

GCD(455, 105) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 84

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

LCM(35, 84) = 420

GCD(35, 84) = ( 35 x 84 ) / 420

GCD(35, 84) = 2940 / 420

GCD(35, 84) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 105

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

LCM(7, 105) = 105

GCD(7, 105) = ( 7 x 105 ) / 105

GCD(7, 105) = 735 / 105

GCD(7, 105) = 7

GCD of 455, 105, 84, 105 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 494, 20, 320
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• GCD of 670, 726, 17, 260

1. What is the GCD of 455, 105, 84, 105?

GCD of 455, 105, 84, 105 is 7

2. Where do I get the detailed procedure to find GCD of 455, 105, 84, 105?

You can find a detailed procedure to find GCD of 455, 105, 84, 105 on our page.

3. How to find GCD of 455, 105, 84, 105 on a calculator?

You can find the GCD of 455, 105, 84, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.