GCD of 154, 605, 84, 828 Calculator

Given Input numbers are 154, 605, 84, 828

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 154, 605, 84, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 605, 84, 828 is 1.

Therefore, GCD of numbers 154, 605, 84, 828 is 1

Given Input Data is 154, 605, 84, 828

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 605 is 5 x 11 x 11

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(154, 605) = 8470

GCD(154, 605) = ( 154 x 605 ) / 8470

GCD(154, 605) = 93170 / 8470

GCD(154, 605) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 84

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

LCM(11, 84) = 924

GCD(11, 84) = ( 11 x 84 ) / 924

GCD(11, 84) = 924 / 924

GCD(11, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 154, 605, 84, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 766, 410, 56, 145
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• GCD of 594, 341, 27, 981

1. What is the GCD of 154, 605, 84, 828?

GCD of 154, 605, 84, 828 is 1

2. Where do I get the detailed procedure to find GCD of 154, 605, 84, 828?

You can find a detailed procedure to find GCD of 154, 605, 84, 828 on our page.

3. How to find GCD of 154, 605, 84, 828 on a calculator?

You can find the GCD of 154, 605, 84, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.