GCD of 320, 868, 523, 426 Calculator

Given Input numbers are 320, 868, 523, 426

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 320, 868, 523, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 868, 523, 426 is 1.

Therefore, GCD of numbers 320, 868, 523, 426 is 1

Given Input Data is 320, 868, 523, 426

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 523 is 523

Prime Factorization of 426 is 2 x 3 x 71

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(320, 868) = 69440

GCD(320, 868) = ( 320 x 868 ) / 69440

GCD(320, 868) = 277760 / 69440

GCD(320, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 523

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

LCM(4, 523) = 2092

GCD(4, 523) = ( 4 x 523 ) / 2092

GCD(4, 523) = 2092 / 2092

GCD(4, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 320, 868, 523, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 248, 619, 812
• GCD of 573, 107, 757, 917
• GCD of 456, 764, 173, 814
• GCD of 318, 421, 988, 794
• GCD of 699, 581, 746, 138

1. What is the GCD of 320, 868, 523, 426?

GCD of 320, 868, 523, 426 is 1

2. Where do I get the detailed procedure to find GCD of 320, 868, 523, 426?

You can find a detailed procedure to find GCD of 320, 868, 523, 426 on our page.

3. How to find GCD of 320, 868, 523, 426 on a calculator?

You can find the GCD of 320, 868, 523, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.