GCD of 313, 712, 357, 667 Calculator

Given Input numbers are 313, 712, 357, 667

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 313, 712, 357, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 712, 357, 667 is 1.

Therefore, GCD of numbers 313, 712, 357, 667 is 1

Given Input Data is 313, 712, 357, 667

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

Prime Factorization of 313 is 313

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 667 is 23 x 29

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, 712) = 222856

GCD(313, 712) = ( 313 x 712 ) / 222856

GCD(313, 712) = 222856 / 222856

GCD(313, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 313, 712, 357, 667 is 1

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• GCD of 153, 344, 705, 760
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1. What is the GCD of 313, 712, 357, 667?

GCD of 313, 712, 357, 667 is 1

2. Where do I get the detailed procedure to find GCD of 313, 712, 357, 667?

You can find a detailed procedure to find GCD of 313, 712, 357, 667 on our page.

3. How to find GCD of 313, 712, 357, 667 on a calculator?

You can find the GCD of 313, 712, 357, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.