GCD of 474, 177, 861, 684 Calculator

Given Input numbers are 474, 177, 861, 684

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 474, 177, 861, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 177, 861, 684 is 3.

Therefore, GCD of numbers 474, 177, 861, 684 is 3

Given Input Data is 474, 177, 861, 684

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 177 is 3 x 59

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(474, 177) = 27966

GCD(474, 177) = ( 474 x 177 ) / 27966

GCD(474, 177) = 83898 / 27966

GCD(474, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 861

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

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

GCD(3, 861) = 2583 / 861

GCD(3, 861) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 684

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

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

GCD(3, 684) = 2052 / 684

GCD(3, 684) = 3

GCD of 474, 177, 861, 684 is 3

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1. What is the GCD of 474, 177, 861, 684?

GCD of 474, 177, 861, 684 is 3

2. Where do I get the detailed procedure to find GCD of 474, 177, 861, 684?

You can find a detailed procedure to find GCD of 474, 177, 861, 684 on our page.

3. How to find GCD of 474, 177, 861, 684 on a calculator?

You can find the GCD of 474, 177, 861, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.