GCD of 86, 684, 522, 354 Calculator

Given Input numbers are 86, 684, 522, 354

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 86, 684, 522, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 684, 522, 354 is 2.

Therefore, GCD of numbers 86, 684, 522, 354 is 2

Given Input Data is 86, 684, 522, 354

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

Prime Factorization of 86 is 2 x 43

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 354 is 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(86, 684) = 29412

GCD(86, 684) = ( 86 x 684 ) / 29412

GCD(86, 684) = 58824 / 29412

GCD(86, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 86, 684, 522, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 775, 251, 487
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• GCD of 32, 297, 374, 160
• GCD of 28, 948, 396, 841
• GCD of 35, 572, 684, 471

1. What is the GCD of 86, 684, 522, 354?

GCD of 86, 684, 522, 354 is 2

2. Where do I get the detailed procedure to find GCD of 86, 684, 522, 354?

You can find a detailed procedure to find GCD of 86, 684, 522, 354 on our page.

3. How to find GCD of 86, 684, 522, 354 on a calculator?

You can find the GCD of 86, 684, 522, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.