GCD of 677, 355, 25, 497 Calculator

Given Input numbers are 677, 355, 25, 497

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 677, 355, 25, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 355, 25, 497 is 1.

Therefore, GCD of numbers 677, 355, 25, 497 is 1

Given Input Data is 677, 355, 25, 497

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

Prime Factorization of 677 is 677

Prime Factorization of 355 is 5 x 71

Prime Factorization of 25 is 5 x 5

Prime Factorization of 497 is 7 x 71

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(677, 355) = 240335

GCD(677, 355) = ( 677 x 355 ) / 240335

GCD(677, 355) = 240335 / 240335

GCD(677, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 677, 355, 25, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 166, 92, 985
• GCD of 331, 870, 43, 803
• GCD of 860, 239, 68, 657
• GCD of 583, 309, 49, 851
• GCD of 452, 357, 47, 370

1. What is the GCD of 677, 355, 25, 497?

GCD of 677, 355, 25, 497 is 1

2. Where do I get the detailed procedure to find GCD of 677, 355, 25, 497?

You can find a detailed procedure to find GCD of 677, 355, 25, 497 on our page.

3. How to find GCD of 677, 355, 25, 497 on a calculator?

You can find the GCD of 677, 355, 25, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.