GCD of 924, 425, 312, 689 Calculator

Given Input numbers are 924, 425, 312, 689

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 924, 425, 312, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 425, 312, 689 is 1.

Therefore, GCD of numbers 924, 425, 312, 689 is 1

Given Input Data is 924, 425, 312, 689

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 689 is 13 x 53

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(924, 425) = 392700

GCD(924, 425) = ( 924 x 425 ) / 392700

GCD(924, 425) = 392700 / 392700

GCD(924, 425) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 924, 425, 312, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 672, 611, 713
• GCD of 461, 612, 156, 413
• GCD of 157, 572, 756, 646
• GCD of 360, 660, 726, 318
• GCD of 996, 431, 719, 291

1. What is the GCD of 924, 425, 312, 689?

GCD of 924, 425, 312, 689 is 1

2. Where do I get the detailed procedure to find GCD of 924, 425, 312, 689?

You can find a detailed procedure to find GCD of 924, 425, 312, 689 on our page.

3. How to find GCD of 924, 425, 312, 689 on a calculator?

You can find the GCD of 924, 425, 312, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.