GCD of 685, 137, 65, 370 Calculator

Given Input numbers are 685, 137, 65, 370

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

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 370

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

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

Greatest Common Divisior

We found the divisors of 685, 137, 65, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 685, 137, 65, 370 is 1.

Therefore, GCD of numbers 685, 137, 65, 370 is 1

Given Input Data is 685, 137, 65, 370

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

Prime Factorization of 685 is 5 x 137

Prime Factorization of 137 is 137

Prime Factorization of 65 is 5 x 13

Prime Factorization of 370 is 2 x 5 x 37

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(685, 137) = 685

GCD(685, 137) = ( 685 x 137 ) / 685

GCD(685, 137) = 93845 / 685

GCD(685, 137) = 137

Step2:

Here we consider the GCD from the above i.e. 137 as first number and the next as 65

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

LCM(137, 65) = 8905

GCD(137, 65) = ( 137 x 65 ) / 8905

GCD(137, 65) = 8905 / 8905

GCD(137, 65) = 1

Step3:

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

GCD of 685, 137, 65, 370 is 1

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1. What is the GCD of 685, 137, 65, 370?

GCD of 685, 137, 65, 370 is 1

2. Where do I get the detailed procedure to find GCD of 685, 137, 65, 370?

You can find a detailed procedure to find GCD of 685, 137, 65, 370 on our page.

3. How to find GCD of 685, 137, 65, 370 on a calculator?

You can find the GCD of 685, 137, 65, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.