GCD of 843, 906, 985, 705 Calculator

Given Input numbers are 843, 906, 985, 705

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

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 985

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

1, 5, 197, 985

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 843, 906, 985, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 906, 985, 705 is 1.

Therefore, GCD of numbers 843, 906, 985, 705 is 1

Given Input Data is 843, 906, 985, 705

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 985 is 5 x 197

Prime Factorization of 705 is 3 x 5 x 47

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(843, 906) = 254586

GCD(843, 906) = ( 843 x 906 ) / 254586

GCD(843, 906) = 763758 / 254586

GCD(843, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 985

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

LCM(3, 985) = 2955

GCD(3, 985) = ( 3 x 985 ) / 2955

GCD(3, 985) = 2955 / 2955

GCD(3, 985) = 1

Step3:

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

GCD of 843, 906, 985, 705 is 1

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1. What is the GCD of 843, 906, 985, 705?

GCD of 843, 906, 985, 705 is 1

2. Where do I get the detailed procedure to find GCD of 843, 906, 985, 705?

You can find a detailed procedure to find GCD of 843, 906, 985, 705 on our page.

3. How to find GCD of 843, 906, 985, 705 on a calculator?

You can find the GCD of 843, 906, 985, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.