GCD of 657, 681, 74, 678 Calculator

Given Input numbers are 657, 681, 74, 678

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 657, 681, 74, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 681, 74, 678 is 1.

Therefore, GCD of numbers 657, 681, 74, 678 is 1

Given Input Data is 657, 681, 74, 678

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 681 is 3 x 227

Prime Factorization of 74 is 2 x 37

Prime Factorization of 678 is 2 x 3 x 113

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(657, 681) = 149139

GCD(657, 681) = ( 657 x 681 ) / 149139

GCD(657, 681) = 447417 / 149139

GCD(657, 681) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 657, 681, 74, 678 is 1

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1. What is the GCD of 657, 681, 74, 678?

GCD of 657, 681, 74, 678 is 1

2. Where do I get the detailed procedure to find GCD of 657, 681, 74, 678?

You can find a detailed procedure to find GCD of 657, 681, 74, 678 on our page.

3. How to find GCD of 657, 681, 74, 678 on a calculator?

You can find the GCD of 657, 681, 74, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.