GCD of 985, 699, 105, 459 Calculator

Given Input numbers are 985, 699, 105, 459

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

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 985, 699, 105, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 699, 105, 459 is 1.

Therefore, GCD of numbers 985, 699, 105, 459 is 1

Given Input Data is 985, 699, 105, 459

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

Prime Factorization of 985 is 5 x 197

Prime Factorization of 699 is 3 x 233

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(985, 699) = 688515

GCD(985, 699) = ( 985 x 699 ) / 688515

GCD(985, 699) = 688515 / 688515

GCD(985, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 985, 699, 105, 459 is 1

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1. What is the GCD of 985, 699, 105, 459?

GCD of 985, 699, 105, 459 is 1

2. Where do I get the detailed procedure to find GCD of 985, 699, 105, 459?

You can find a detailed procedure to find GCD of 985, 699, 105, 459 on our page.

3. How to find GCD of 985, 699, 105, 459 on a calculator?

You can find the GCD of 985, 699, 105, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.