GCD of 314, 437, 878, 690 Calculator

Given Input numbers are 314, 437, 878, 690

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 314, 437, 878, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 437, 878, 690 is 1.

Therefore, GCD of numbers 314, 437, 878, 690 is 1

Given Input Data is 314, 437, 878, 690

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 437 is 19 x 23

Prime Factorization of 878 is 2 x 439

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(314, 437) = 137218

GCD(314, 437) = ( 314 x 437 ) / 137218

GCD(314, 437) = 137218 / 137218

GCD(314, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 314, 437, 878, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 630, 661, 393
• GCD of 981, 228, 362, 192
• GCD of 125, 376, 722, 773
• GCD of 778, 889, 657, 155
• GCD of 435, 755, 678, 172

1. What is the GCD of 314, 437, 878, 690?

GCD of 314, 437, 878, 690 is 1

2. Where do I get the detailed procedure to find GCD of 314, 437, 878, 690?

You can find a detailed procedure to find GCD of 314, 437, 878, 690 on our page.

3. How to find GCD of 314, 437, 878, 690 on a calculator?

You can find the GCD of 314, 437, 878, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.