GCD of 370, 726, 497, 687 Calculator

Given Input numbers are 370, 726, 497, 687

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

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 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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 370, 726, 497, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 726, 497, 687 is 1.

Therefore, GCD of numbers 370, 726, 497, 687 is 1

Given Input Data is 370, 726, 497, 687

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

Prime Factorization of 370 is 2 x 5 x 37

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 687 is 3 x 229

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(370, 726) = 134310

GCD(370, 726) = ( 370 x 726 ) / 134310

GCD(370, 726) = 268620 / 134310

GCD(370, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 370, 726, 497, 687 is 1

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1. What is the GCD of 370, 726, 497, 687?

GCD of 370, 726, 497, 687 is 1

2. Where do I get the detailed procedure to find GCD of 370, 726, 497, 687?

You can find a detailed procedure to find GCD of 370, 726, 497, 687 on our page.

3. How to find GCD of 370, 726, 497, 687 on a calculator?

You can find the GCD of 370, 726, 497, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.