GCD of 932, 588, 718, 166 Calculator

Given Input numbers are 932, 588, 718, 166

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 932, 588, 718, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 588, 718, 166 is 2.

Therefore, GCD of numbers 932, 588, 718, 166 is 2

Given Input Data is 932, 588, 718, 166

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 718 is 2 x 359

Prime Factorization of 166 is 2 x 83

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(932, 588) = 137004

GCD(932, 588) = ( 932 x 588 ) / 137004

GCD(932, 588) = 548016 / 137004

GCD(932, 588) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 718

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

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

GCD(4, 718) = 2872 / 1436

GCD(4, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 932, 588, 718, 166 is 2

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1. What is the GCD of 932, 588, 718, 166?

GCD of 932, 588, 718, 166 is 2

2. Where do I get the detailed procedure to find GCD of 932, 588, 718, 166?

You can find a detailed procedure to find GCD of 932, 588, 718, 166 on our page.

3. How to find GCD of 932, 588, 718, 166 on a calculator?

You can find the GCD of 932, 588, 718, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.