GCD of 313, 970, 34, 670 Calculator

Given Input numbers are 313, 970, 34, 670

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 313, 970, 34, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 970, 34, 670 is 1.

Therefore, GCD of numbers 313, 970, 34, 670 is 1

Given Input Data is 313, 970, 34, 670

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 34 is 2 x 17

Prime Factorization of 670 is 2 x 5 x 67

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 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 313, 970, 34, 670 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 344, 31, 740
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• GCD of 236, 919, 31, 329

1. What is the GCD of 313, 970, 34, 670?

GCD of 313, 970, 34, 670 is 1

2. Where do I get the detailed procedure to find GCD of 313, 970, 34, 670?

You can find a detailed procedure to find GCD of 313, 970, 34, 670 on our page.

3. How to find GCD of 313, 970, 34, 670 on a calculator?

You can find the GCD of 313, 970, 34, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.