GCD of 675, 977, 365, 361 Calculator

Given Input numbers are 675, 977, 365, 361

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 675, 977, 365, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 977, 365, 361 is 1.

Therefore, GCD of numbers 675, 977, 365, 361 is 1

Given Input Data is 675, 977, 365, 361

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 977 is 977

Prime Factorization of 365 is 5 x 73

Prime Factorization of 361 is 19 x 19

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(675, 977) = 659475

GCD(675, 977) = ( 675 x 977 ) / 659475

GCD(675, 977) = 659475 / 659475

GCD(675, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 675, 977, 365, 361 is 1

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1. What is the GCD of 675, 977, 365, 361?

GCD of 675, 977, 365, 361 is 1

2. Where do I get the detailed procedure to find GCD of 675, 977, 365, 361?

You can find a detailed procedure to find GCD of 675, 977, 365, 361 on our page.

3. How to find GCD of 675, 977, 365, 361 on a calculator?

You can find the GCD of 675, 977, 365, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.