GCD of 831, 896, 737, 314 Calculator

Given Input numbers are 831, 896, 737, 314

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 831, 896, 737, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 896, 737, 314 is 1.

Therefore, GCD of numbers 831, 896, 737, 314 is 1

Given Input Data is 831, 896, 737, 314

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 737 is 11 x 67

Prime Factorization of 314 is 2 x 157

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(831, 896) = 744576

GCD(831, 896) = ( 831 x 896 ) / 744576

GCD(831, 896) = 744576 / 744576

GCD(831, 896) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 831, 896, 737, 314 is 1

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• GCD of 650, 428, 336, 705
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• GCD of 345, 488, 140, 371

1. What is the GCD of 831, 896, 737, 314?

GCD of 831, 896, 737, 314 is 1

2. Where do I get the detailed procedure to find GCD of 831, 896, 737, 314?

You can find a detailed procedure to find GCD of 831, 896, 737, 314 on our page.

3. How to find GCD of 831, 896, 737, 314 on a calculator?

You can find the GCD of 831, 896, 737, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.