GCD of 634, 361, 77, 984 Calculator

Given Input numbers are 634, 361, 77, 984

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 361

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

1, 19, 361

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 634, 361, 77, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 361, 77, 984 is 1.

Therefore, GCD of numbers 634, 361, 77, 984 is 1

Given Input Data is 634, 361, 77, 984

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 361 is 19 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(634, 361) = 228874

GCD(634, 361) = ( 634 x 361 ) / 228874

GCD(634, 361) = 228874 / 228874

GCD(634, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 634, 361, 77, 984 is 1

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1. What is the GCD of 634, 361, 77, 984?

GCD of 634, 361, 77, 984 is 1

2. Where do I get the detailed procedure to find GCD of 634, 361, 77, 984?

You can find a detailed procedure to find GCD of 634, 361, 77, 984 on our page.

3. How to find GCD of 634, 361, 77, 984 on a calculator?

You can find the GCD of 634, 361, 77, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.