GCD of 690, 308, 588, 179 Calculator

Given Input numbers are 690, 308, 588, 179

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 690, 308, 588, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 308, 588, 179 is 1.

Therefore, GCD of numbers 690, 308, 588, 179 is 1

Given Input Data is 690, 308, 588, 179

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 308 is 2 x 2 x 7 x 11

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

Prime Factorization of 179 is 179

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(690, 308) = 106260

GCD(690, 308) = ( 690 x 308 ) / 106260

GCD(690, 308) = 212520 / 106260

GCD(690, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 179

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

LCM(2, 179) = 358

GCD(2, 179) = ( 2 x 179 ) / 358

GCD(2, 179) = 358 / 358

GCD(2, 179) = 1

GCD of 690, 308, 588, 179 is 1

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• GCD of 938, 806, 968, 255
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1. What is the GCD of 690, 308, 588, 179?

GCD of 690, 308, 588, 179 is 1

2. Where do I get the detailed procedure to find GCD of 690, 308, 588, 179?

You can find a detailed procedure to find GCD of 690, 308, 588, 179 on our page.

3. How to find GCD of 690, 308, 588, 179 on a calculator?

You can find the GCD of 690, 308, 588, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.