GCD of 523, 597, 70, 687 Calculator

Given Input numbers are 523, 597, 70, 687

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 523, 597, 70, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 597, 70, 687 is 1.

Therefore, GCD of numbers 523, 597, 70, 687 is 1

Given Input Data is 523, 597, 70, 687

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

Prime Factorization of 523 is 523

Prime Factorization of 597 is 3 x 199

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 687 is 3 x 229

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(523, 597) = 312231

GCD(523, 597) = ( 523 x 597 ) / 312231

GCD(523, 597) = 312231 / 312231

GCD(523, 597) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 523, 597, 70, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 222, 66, 646
• GCD of 265, 114, 64, 629
• GCD of 828, 230, 10, 728
• GCD of 527, 670, 74, 728
• GCD of 883, 153, 54, 615

1. What is the GCD of 523, 597, 70, 687?

GCD of 523, 597, 70, 687 is 1

2. Where do I get the detailed procedure to find GCD of 523, 597, 70, 687?

You can find a detailed procedure to find GCD of 523, 597, 70, 687 on our page.

3. How to find GCD of 523, 597, 70, 687 on a calculator?

You can find the GCD of 523, 597, 70, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.