GCD of 90, 685, 351, 523 Calculator

Given Input numbers are 90, 685, 351, 523

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 523

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

1, 523

Greatest Common Divisior

We found the divisors of 90, 685, 351, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 685, 351, 523 is 1.

Therefore, GCD of numbers 90, 685, 351, 523 is 1

Given Input Data is 90, 685, 351, 523

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 685 is 5 x 137

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 523 is 523

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(90, 685) = 12330

GCD(90, 685) = ( 90 x 685 ) / 12330

GCD(90, 685) = 61650 / 12330

GCD(90, 685) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 351

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

LCM(5, 351) = 1755

GCD(5, 351) = ( 5 x 351 ) / 1755

GCD(5, 351) = 1755 / 1755

GCD(5, 351) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 90, 685, 351, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 962, 836, 444
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• GCD of 13, 943, 197, 425
• GCD of 60, 884, 182, 172
• GCD of 26, 347, 606, 203

1. What is the GCD of 90, 685, 351, 523?

GCD of 90, 685, 351, 523 is 1

2. Where do I get the detailed procedure to find GCD of 90, 685, 351, 523?

You can find a detailed procedure to find GCD of 90, 685, 351, 523 on our page.

3. How to find GCD of 90, 685, 351, 523 on a calculator?

You can find the GCD of 90, 685, 351, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.