GCD of 995, 459, 987, 434 Calculator

Given Input numbers are 995, 459, 987, 434

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 459

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

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 995, 459, 987, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 459, 987, 434 is 1.

Therefore, GCD of numbers 995, 459, 987, 434 is 1

Given Input Data is 995, 459, 987, 434

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

Prime Factorization of 995 is 5 x 199

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 434 is 2 x 7 x 31

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(995, 459) = 456705

GCD(995, 459) = ( 995 x 459 ) / 456705

GCD(995, 459) = 456705 / 456705

GCD(995, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 995, 459, 987, 434 is 1

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1. What is the GCD of 995, 459, 987, 434?

GCD of 995, 459, 987, 434 is 1

2. Where do I get the detailed procedure to find GCD of 995, 459, 987, 434?

You can find a detailed procedure to find GCD of 995, 459, 987, 434 on our page.

3. How to find GCD of 995, 459, 987, 434 on a calculator?

You can find the GCD of 995, 459, 987, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.