GCD of 523, 575, 70, 471 Calculator

Given Input numbers are 523, 575, 70, 471

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 523, 575, 70, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 575, 70, 471 is 1.

Therefore, GCD of numbers 523, 575, 70, 471 is 1

Given Input Data is 523, 575, 70, 471

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

Prime Factorization of 523 is 523

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 471 is 3 x 157

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, 575) = 300725

GCD(523, 575) = ( 523 x 575 ) / 300725

GCD(523, 575) = 300725 / 300725

GCD(523, 575) = 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 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 523, 575, 70, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 690, 76, 932
• GCD of 377, 608, 55, 519
• GCD of 417, 772, 56, 287
• GCD of 206, 575, 71, 192
• GCD of 696, 959, 22, 164

1. What is the GCD of 523, 575, 70, 471?

GCD of 523, 575, 70, 471 is 1

2. Where do I get the detailed procedure to find GCD of 523, 575, 70, 471?

You can find a detailed procedure to find GCD of 523, 575, 70, 471 on our page.

3. How to find GCD of 523, 575, 70, 471 on a calculator?

You can find the GCD of 523, 575, 70, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.