GCD of 84, 975, 995, 466 Calculator

Given Input numbers are 84, 975, 995, 466

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 995

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

1, 5, 199, 995

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 84, 975, 995, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 975, 995, 466 is 1.

Therefore, GCD of numbers 84, 975, 995, 466 is 1

Given Input Data is 84, 975, 995, 466

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 995 is 5 x 199

Prime Factorization of 466 is 2 x 233

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(84, 975) = 27300

GCD(84, 975) = ( 84 x 975 ) / 27300

GCD(84, 975) = 81900 / 27300

GCD(84, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 995

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

LCM(3, 995) = 2985

GCD(3, 995) = ( 3 x 995 ) / 2985

GCD(3, 995) = 2985 / 2985

GCD(3, 995) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 84, 975, 995, 466 is 1

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1. What is the GCD of 84, 975, 995, 466?

GCD of 84, 975, 995, 466 is 1

2. Where do I get the detailed procedure to find GCD of 84, 975, 995, 466?

You can find a detailed procedure to find GCD of 84, 975, 995, 466 on our page.

3. How to find GCD of 84, 975, 995, 466 on a calculator?

You can find the GCD of 84, 975, 995, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.