GCD of 914, 842, 206, 307 Calculator

Given Input numbers are 914, 842, 206, 307

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 307

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

1, 307

Greatest Common Divisior

We found the divisors of 914, 842, 206, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 842, 206, 307 is 1.

Therefore, GCD of numbers 914, 842, 206, 307 is 1

Given Input Data is 914, 842, 206, 307

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 842 is 2 x 421

Prime Factorization of 206 is 2 x 103

Prime Factorization of 307 is 307

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(914, 842) = 384794

GCD(914, 842) = ( 914 x 842 ) / 384794

GCD(914, 842) = 769588 / 384794

GCD(914, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

Step3:

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

GCD of 914, 842, 206, 307 is 1

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• GCD of 929, 593, 249, 255
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• GCD of 705, 452, 703, 154

1. What is the GCD of 914, 842, 206, 307?

GCD of 914, 842, 206, 307 is 1

2. Where do I get the detailed procedure to find GCD of 914, 842, 206, 307?

You can find a detailed procedure to find GCD of 914, 842, 206, 307 on our page.

3. How to find GCD of 914, 842, 206, 307 on a calculator?

You can find the GCD of 914, 842, 206, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.