GCD of 174, 662, 343, 182 Calculator

Given Input numbers are 174, 662, 343, 182

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

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 174, 662, 343, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 662, 343, 182 is 1.

Therefore, GCD of numbers 174, 662, 343, 182 is 1

Given Input Data is 174, 662, 343, 182

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 662 is 2 x 331

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 182 is 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(174, 662) = 57594

GCD(174, 662) = ( 174 x 662 ) / 57594

GCD(174, 662) = 115188 / 57594

GCD(174, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 174, 662, 343, 182 is 1

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• GCD of 271, 674, 603, 124
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1. What is the GCD of 174, 662, 343, 182?

GCD of 174, 662, 343, 182 is 1

2. Where do I get the detailed procedure to find GCD of 174, 662, 343, 182?

You can find a detailed procedure to find GCD of 174, 662, 343, 182 on our page.

3. How to find GCD of 174, 662, 343, 182 on a calculator?

You can find the GCD of 174, 662, 343, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.