GCD of 313, 970, 35, 825 Calculator

Given Input numbers are 313, 970, 35, 825

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

Divisors of 313

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

1, 313

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 35

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

1, 5, 7, 35

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 313, 970, 35, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 970, 35, 825 is 1.

Therefore, GCD of numbers 313, 970, 35, 825 is 1

Given Input Data is 313, 970, 35, 825

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

Prime Factorization of 313 is 313

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 35 is 5 x 7

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(313, 970) = 303610

GCD(313, 970) = ( 313 x 970 ) / 303610

GCD(313, 970) = 303610 / 303610

GCD(313, 970) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 313, 970, 35, 825 is 1

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• GCD of 562, 631, 37, 359
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• GCD of 306, 882, 86, 977

1. What is the GCD of 313, 970, 35, 825?

GCD of 313, 970, 35, 825 is 1

2. Where do I get the detailed procedure to find GCD of 313, 970, 35, 825?

You can find a detailed procedure to find GCD of 313, 970, 35, 825 on our page.

3. How to find GCD of 313, 970, 35, 825 on a calculator?

You can find the GCD of 313, 970, 35, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.