GCD of 679, 537, 74, 407 Calculator

Given Input numbers are 679, 537, 74, 407

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 537

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

1, 3, 179, 537

Divisors of 74

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

1, 2, 37, 74

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 679, 537, 74, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 537, 74, 407 is 1.

Therefore, GCD of numbers 679, 537, 74, 407 is 1

Given Input Data is 679, 537, 74, 407

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 537 is 3 x 179

Prime Factorization of 74 is 2 x 37

Prime Factorization of 407 is 11 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(679, 537) = 364623

GCD(679, 537) = ( 679 x 537 ) / 364623

GCD(679, 537) = 364623 / 364623

GCD(679, 537) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 679, 537, 74, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 132, 17, 897
• GCD of 203, 362, 63, 952
• GCD of 919, 159, 61, 597
• GCD of 413, 837, 37, 728
• GCD of 386, 324, 37, 124

1. What is the GCD of 679, 537, 74, 407?

GCD of 679, 537, 74, 407 is 1

2. Where do I get the detailed procedure to find GCD of 679, 537, 74, 407?

You can find a detailed procedure to find GCD of 679, 537, 74, 407 on our page.

3. How to find GCD of 679, 537, 74, 407 on a calculator?

You can find the GCD of 679, 537, 74, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.