GCD of 304, 182, 34, 670 Calculator

Given Input numbers are 304, 182, 34, 670

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 182

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

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 304, 182, 34, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 182, 34, 670 is 2.

Therefore, GCD of numbers 304, 182, 34, 670 is 2

Given Input Data is 304, 182, 34, 670

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 34 is 2 x 17

Prime Factorization of 670 is 2 x 5 x 67

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(304, 182) = 27664

GCD(304, 182) = ( 304 x 182 ) / 27664

GCD(304, 182) = 55328 / 27664

GCD(304, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 670

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

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

GCD(2, 670) = 1340 / 670

GCD(2, 670) = 2

GCD of 304, 182, 34, 670 is 2

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• GCD of 155, 273, 19, 439
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• GCD of 748, 145, 81, 800
• GCD of 345, 983, 48, 447
• GCD of 367, 565, 23, 640

1. What is the GCD of 304, 182, 34, 670?

GCD of 304, 182, 34, 670 is 2

2. Where do I get the detailed procedure to find GCD of 304, 182, 34, 670?

You can find a detailed procedure to find GCD of 304, 182, 34, 670 on our page.

3. How to find GCD of 304, 182, 34, 670 on a calculator?

You can find the GCD of 304, 182, 34, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.