GCD of 989, 407, 392, 715 Calculator

Given Input numbers are 989, 407, 392, 715

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 407

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

1, 11, 37, 407

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 989, 407, 392, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 407, 392, 715 is 1.

Therefore, GCD of numbers 989, 407, 392, 715 is 1

Given Input Data is 989, 407, 392, 715

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 407 is 11 x 37

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 715 is 5 x 11 x 13

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(989, 407) = 402523

GCD(989, 407) = ( 989 x 407 ) / 402523

GCD(989, 407) = 402523 / 402523

GCD(989, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 989, 407, 392, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 559, 758, 885
• GCD of 572, 825, 888, 235
• GCD of 779, 197, 160, 924
• GCD of 362, 532, 503, 157
• GCD of 420, 763, 373, 915

1. What is the GCD of 989, 407, 392, 715?

GCD of 989, 407, 392, 715 is 1

2. Where do I get the detailed procedure to find GCD of 989, 407, 392, 715?

You can find a detailed procedure to find GCD of 989, 407, 392, 715 on our page.

3. How to find GCD of 989, 407, 392, 715 on a calculator?

You can find the GCD of 989, 407, 392, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.