GCD of 686, 374, 304, 537 Calculator

Given Input numbers are 686, 374, 304, 537

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 374

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

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 686, 374, 304, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 374, 304, 537 is 1.

Therefore, GCD of numbers 686, 374, 304, 537 is 1

Given Input Data is 686, 374, 304, 537

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 537 is 3 x 179

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(686, 374) = 128282

GCD(686, 374) = ( 686 x 374 ) / 128282

GCD(686, 374) = 256564 / 128282

GCD(686, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 537

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

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

GCD(2, 537) = 1074 / 1074

GCD(2, 537) = 1

GCD of 686, 374, 304, 537 is 1

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1. What is the GCD of 686, 374, 304, 537?

GCD of 686, 374, 304, 537 is 1

2. Where do I get the detailed procedure to find GCD of 686, 374, 304, 537?

You can find a detailed procedure to find GCD of 686, 374, 304, 537 on our page.

3. How to find GCD of 686, 374, 304, 537 on a calculator?

You can find the GCD of 686, 374, 304, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.