GCD of 898, 114, 307, 786 Calculator

Given Input numbers are 898, 114, 307, 786

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 898, 114, 307, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 114, 307, 786 is 1.

Therefore, GCD of numbers 898, 114, 307, 786 is 1

Given Input Data is 898, 114, 307, 786

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 307 is 307

Prime Factorization of 786 is 2 x 3 x 131

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(898, 114) = 51186

GCD(898, 114) = ( 898 x 114 ) / 51186

GCD(898, 114) = 102372 / 51186

GCD(898, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 898, 114, 307, 786 is 1

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1. What is the GCD of 898, 114, 307, 786?

GCD of 898, 114, 307, 786 is 1

2. Where do I get the detailed procedure to find GCD of 898, 114, 307, 786?

You can find a detailed procedure to find GCD of 898, 114, 307, 786 on our page.

3. How to find GCD of 898, 114, 307, 786 on a calculator?

You can find the GCD of 898, 114, 307, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.