GCD of 314, 743, 370, 374 Calculator

Given Input numbers are 314, 743, 370, 374

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 314, 743, 370, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 743, 370, 374 is 1.

Therefore, GCD of numbers 314, 743, 370, 374 is 1

Given Input Data is 314, 743, 370, 374

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 743 is 743

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 374 is 2 x 11 x 17

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(314, 743) = 233302

GCD(314, 743) = ( 314 x 743 ) / 233302

GCD(314, 743) = 233302 / 233302

GCD(314, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 314, 743, 370, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 955, 620, 293
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• GCD of 732, 638, 962, 633
• GCD of 555, 429, 895, 276
• GCD of 544, 997, 548, 515

1. What is the GCD of 314, 743, 370, 374?

GCD of 314, 743, 370, 374 is 1

2. Where do I get the detailed procedure to find GCD of 314, 743, 370, 374?

You can find a detailed procedure to find GCD of 314, 743, 370, 374 on our page.

3. How to find GCD of 314, 743, 370, 374 on a calculator?

You can find the GCD of 314, 743, 370, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.