GCD of 313, 746, 85, 350 Calculator

Given Input numbers are 313, 746, 85, 350

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 313, 746, 85, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 746, 85, 350 is 1.

Therefore, GCD of numbers 313, 746, 85, 350 is 1

Given Input Data is 313, 746, 85, 350

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

Prime Factorization of 313 is 313

Prime Factorization of 746 is 2 x 373

Prime Factorization of 85 is 5 x 17

Prime Factorization of 350 is 2 x 5 x 5 x 7

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, 746) = 233498

GCD(313, 746) = ( 313 x 746 ) / 233498

GCD(313, 746) = 233498 / 233498

GCD(313, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 313, 746, 85, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 734, 30, 559
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• GCD of 749, 765, 59, 135
• GCD of 287, 475, 86, 669

1. What is the GCD of 313, 746, 85, 350?

GCD of 313, 746, 85, 350 is 1

2. Where do I get the detailed procedure to find GCD of 313, 746, 85, 350?

You can find a detailed procedure to find GCD of 313, 746, 85, 350 on our page.

3. How to find GCD of 313, 746, 85, 350 on a calculator?

You can find the GCD of 313, 746, 85, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.