GCD of 402, 314, 726, 373 Calculator

Given Input numbers are 402, 314, 726, 373

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 314

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

1, 2, 157, 314

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Greatest Common Divisior

We found the divisors of 402, 314, 726, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 314, 726, 373 is 1.

Therefore, GCD of numbers 402, 314, 726, 373 is 1

Given Input Data is 402, 314, 726, 373

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 314 is 2 x 157

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 373 is 373

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(402, 314) = 63114

GCD(402, 314) = ( 402 x 314 ) / 63114

GCD(402, 314) = 126228 / 63114

GCD(402, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 373

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

LCM(2, 373) = 746

GCD(2, 373) = ( 2 x 373 ) / 746

GCD(2, 373) = 746 / 746

GCD(2, 373) = 1

GCD of 402, 314, 726, 373 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 203, 403, 537
• GCD of 227, 296, 247, 723
• GCD of 362, 362, 387, 802
• GCD of 771, 805, 982, 363
• GCD of 615, 130, 424, 380

1. What is the GCD of 402, 314, 726, 373?

GCD of 402, 314, 726, 373 is 1

2. Where do I get the detailed procedure to find GCD of 402, 314, 726, 373?

You can find a detailed procedure to find GCD of 402, 314, 726, 373 on our page.

3. How to find GCD of 402, 314, 726, 373 on a calculator?

You can find the GCD of 402, 314, 726, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.