GCD of 849, 310, 698, 956 Calculator

Given Input numbers are 849, 310, 698, 956

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 849, 310, 698, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 310, 698, 956 is 1.

Therefore, GCD of numbers 849, 310, 698, 956 is 1

Given Input Data is 849, 310, 698, 956

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 698 is 2 x 349

Prime Factorization of 956 is 2 x 2 x 239

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(849, 310) = 263190

GCD(849, 310) = ( 849 x 310 ) / 263190

GCD(849, 310) = 263190 / 263190

GCD(849, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 849, 310, 698, 956 is 1

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1. What is the GCD of 849, 310, 698, 956?

GCD of 849, 310, 698, 956 is 1

2. Where do I get the detailed procedure to find GCD of 849, 310, 698, 956?

You can find a detailed procedure to find GCD of 849, 310, 698, 956 on our page.

3. How to find GCD of 849, 310, 698, 956 on a calculator?

You can find the GCD of 849, 310, 698, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.