GCD of 724, 606, 986, 182 Calculator

Given Input numbers are 724, 606, 986, 182

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 724, 606, 986, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 606, 986, 182 is 2.

Therefore, GCD of numbers 724, 606, 986, 182 is 2

Given Input Data is 724, 606, 986, 182

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 182 is 2 x 7 x 13

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(724, 606) = 219372

GCD(724, 606) = ( 724 x 606 ) / 219372

GCD(724, 606) = 438744 / 219372

GCD(724, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

GCD of 724, 606, 986, 182 is 2

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1. What is the GCD of 724, 606, 986, 182?

GCD of 724, 606, 986, 182 is 2

2. Where do I get the detailed procedure to find GCD of 724, 606, 986, 182?

You can find a detailed procedure to find GCD of 724, 606, 986, 182 on our page.

3. How to find GCD of 724, 606, 986, 182 on a calculator?

You can find the GCD of 724, 606, 986, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.