GCD of 49, 812, 584, 985 Calculator

Given Input numbers are 49, 812, 584, 985

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

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 49, 812, 584, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 812, 584, 985 is 1.

Therefore, GCD of numbers 49, 812, 584, 985 is 1

Given Input Data is 49, 812, 584, 985

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(49, 812) = 5684

GCD(49, 812) = ( 49 x 812 ) / 5684

GCD(49, 812) = 39788 / 5684

GCD(49, 812) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 584

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

LCM(7, 584) = 4088

GCD(7, 584) = ( 7 x 584 ) / 4088

GCD(7, 584) = 4088 / 4088

GCD(7, 584) = 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 49, 812, 584, 985 is 1

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• GCD of 94, 136, 602, 233
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• GCD of 56, 347, 956, 422

1. What is the GCD of 49, 812, 584, 985?

GCD of 49, 812, 584, 985 is 1

2. Where do I get the detailed procedure to find GCD of 49, 812, 584, 985?

You can find a detailed procedure to find GCD of 49, 812, 584, 985 on our page.

3. How to find GCD of 49, 812, 584, 985 on a calculator?

You can find the GCD of 49, 812, 584, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.