GCD of 814, 537, 69, 657 Calculator

Given Input numbers are 814, 537, 69, 657

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 537

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

1, 3, 179, 537

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 814, 537, 69, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 537, 69, 657 is 1.

Therefore, GCD of numbers 814, 537, 69, 657 is 1

Given Input Data is 814, 537, 69, 657

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 537 is 3 x 179

Prime Factorization of 69 is 3 x 23

Prime Factorization of 657 is 3 x 3 x 73

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(814, 537) = 437118

GCD(814, 537) = ( 814 x 537 ) / 437118

GCD(814, 537) = 437118 / 437118

GCD(814, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 814, 537, 69, 657 is 1

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1. What is the GCD of 814, 537, 69, 657?

GCD of 814, 537, 69, 657 is 1

2. Where do I get the detailed procedure to find GCD of 814, 537, 69, 657?

You can find a detailed procedure to find GCD of 814, 537, 69, 657 on our page.

3. How to find GCD of 814, 537, 69, 657 on a calculator?

You can find the GCD of 814, 537, 69, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.