GCD of 843, 214, 736, 677 Calculator

Given Input numbers are 843, 214, 736, 677

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 843, 214, 736, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 214, 736, 677 is 1.

Therefore, GCD of numbers 843, 214, 736, 677 is 1

Given Input Data is 843, 214, 736, 677

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 214 is 2 x 107

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 677 is 677

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, 214) = 180402

GCD(843, 214) = ( 843 x 214 ) / 180402

GCD(843, 214) = 180402 / 180402

GCD(843, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 843, 214, 736, 677 is 1

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1. What is the GCD of 843, 214, 736, 677?

GCD of 843, 214, 736, 677 is 1

2. Where do I get the detailed procedure to find GCD of 843, 214, 736, 677?

You can find a detailed procedure to find GCD of 843, 214, 736, 677 on our page.

3. How to find GCD of 843, 214, 736, 677 on a calculator?

You can find the GCD of 843, 214, 736, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.