GCD of 35, 982, 313, 523 Calculator

Given Input numbers are 35, 982, 313, 523

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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 35, 982, 313, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 982, 313, 523 is 1.

Therefore, GCD of numbers 35, 982, 313, 523 is 1

Given Input Data is 35, 982, 313, 523

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 982 is 2 x 491

Prime Factorization of 313 is 313

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(35, 982) = 34370

GCD(35, 982) = ( 35 x 982 ) / 34370

GCD(35, 982) = 34370 / 34370

GCD(35, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 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 35, 982, 313, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 435, 535, 670
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• GCD of 28, 488, 124, 476
• GCD of 67, 248, 150, 886
• GCD of 28, 978, 220, 185

1. What is the GCD of 35, 982, 313, 523?

GCD of 35, 982, 313, 523 is 1

2. Where do I get the detailed procedure to find GCD of 35, 982, 313, 523?

You can find a detailed procedure to find GCD of 35, 982, 313, 523 on our page.

3. How to find GCD of 35, 982, 313, 523 on a calculator?

You can find the GCD of 35, 982, 313, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.