GCD of 164, 924, 86, 874 Calculator

Given Input numbers are 164, 924, 86, 874

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 86

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

1, 2, 43, 86

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 164, 924, 86, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 924, 86, 874 is 2.

Therefore, GCD of numbers 164, 924, 86, 874 is 2

Given Input Data is 164, 924, 86, 874

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 86 is 2 x 43

Prime Factorization of 874 is 2 x 19 x 23

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(164, 924) = 37884

GCD(164, 924) = ( 164 x 924 ) / 37884

GCD(164, 924) = 151536 / 37884

GCD(164, 924) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 164, 924, 86, 874 is 2

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1. What is the GCD of 164, 924, 86, 874?

GCD of 164, 924, 86, 874 is 2

2. Where do I get the detailed procedure to find GCD of 164, 924, 86, 874?

You can find a detailed procedure to find GCD of 164, 924, 86, 874 on our page.

3. How to find GCD of 164, 924, 86, 874 on a calculator?

You can find the GCD of 164, 924, 86, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.