GCD of 689, 605, 67, 588 Calculator

Given Input numbers are 689, 605, 67, 588

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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

Greatest Common Divisior

We found the divisors of 689, 605, 67, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 605, 67, 588 is 1.

Therefore, GCD of numbers 689, 605, 67, 588 is 1

Given Input Data is 689, 605, 67, 588

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 67 is 67

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

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(689, 605) = 416845

GCD(689, 605) = ( 689 x 605 ) / 416845

GCD(689, 605) = 416845 / 416845

GCD(689, 605) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 689, 605, 67, 588 is 1

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• GCD of 699, 736, 56, 356
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1. What is the GCD of 689, 605, 67, 588?

GCD of 689, 605, 67, 588 is 1

2. Where do I get the detailed procedure to find GCD of 689, 605, 67, 588?

You can find a detailed procedure to find GCD of 689, 605, 67, 588 on our page.

3. How to find GCD of 689, 605, 67, 588 on a calculator?

You can find the GCD of 689, 605, 67, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.