GCD of 915, 925, 712, 407 Calculator

Given Input numbers are 915, 925, 712, 407

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 915, 925, 712, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 925, 712, 407 is 1.

Therefore, GCD of numbers 915, 925, 712, 407 is 1

Given Input Data is 915, 925, 712, 407

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 407 is 11 x 37

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(915, 925) = 169275

GCD(915, 925) = ( 915 x 925 ) / 169275

GCD(915, 925) = 846375 / 169275

GCD(915, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 712

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

LCM(5, 712) = 3560

GCD(5, 712) = ( 5 x 712 ) / 3560

GCD(5, 712) = 3560 / 3560

GCD(5, 712) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 915, 925, 712, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 597, 184, 788
• GCD of 459, 298, 248, 881
• GCD of 700, 141, 331, 424
• GCD of 217, 260, 372, 797
• GCD of 683, 127, 115, 655

1. What is the GCD of 915, 925, 712, 407?

GCD of 915, 925, 712, 407 is 1

2. Where do I get the detailed procedure to find GCD of 915, 925, 712, 407?

You can find a detailed procedure to find GCD of 915, 925, 712, 407 on our page.

3. How to find GCD of 915, 925, 712, 407 on a calculator?

You can find the GCD of 915, 925, 712, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.