GCD of 461, 189, 705, 985 Calculator

Given Input numbers are 461, 189, 705, 985

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

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 985

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

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 461, 189, 705, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 189, 705, 985 is 1.

Therefore, GCD of numbers 461, 189, 705, 985 is 1

Given Input Data is 461, 189, 705, 985

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

Prime Factorization of 461 is 461

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 985 is 5 x 197

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(461, 189) = 87129

GCD(461, 189) = ( 461 x 189 ) / 87129

GCD(461, 189) = 87129 / 87129

GCD(461, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 461, 189, 705, 985 is 1

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1. What is the GCD of 461, 189, 705, 985?

GCD of 461, 189, 705, 985 is 1

2. Where do I get the detailed procedure to find GCD of 461, 189, 705, 985?

You can find a detailed procedure to find GCD of 461, 189, 705, 985 on our page.

3. How to find GCD of 461, 189, 705, 985 on a calculator?

You can find the GCD of 461, 189, 705, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.