GCD of 504, 105, 989, 635 Calculator

Given Input numbers are 504, 105, 989, 635

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 504, 105, 989, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 105, 989, 635 is 1.

Therefore, GCD of numbers 504, 105, 989, 635 is 1

Given Input Data is 504, 105, 989, 635

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 989 is 23 x 43

Prime Factorization of 635 is 5 x 127

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(504, 105) = 2520

GCD(504, 105) = ( 504 x 105 ) / 2520

GCD(504, 105) = 52920 / 2520

GCD(504, 105) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 989

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

LCM(21, 989) = 20769

GCD(21, 989) = ( 21 x 989 ) / 20769

GCD(21, 989) = 20769 / 20769

GCD(21, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 504, 105, 989, 635 is 1

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1. What is the GCD of 504, 105, 989, 635?

GCD of 504, 105, 989, 635 is 1

2. Where do I get the detailed procedure to find GCD of 504, 105, 989, 635?

You can find a detailed procedure to find GCD of 504, 105, 989, 635 on our page.

3. How to find GCD of 504, 105, 989, 635 on a calculator?

You can find the GCD of 504, 105, 989, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.