GCD of 245, 768, 15, 989 Calculator

Given Input numbers are 245, 768, 15, 989

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 989

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

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 245, 768, 15, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 768, 15, 989 is 1.

Therefore, GCD of numbers 245, 768, 15, 989 is 1

Given Input Data is 245, 768, 15, 989

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 15 is 3 x 5

Prime Factorization of 989 is 23 x 43

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(245, 768) = 188160

GCD(245, 768) = ( 245 x 768 ) / 188160

GCD(245, 768) = 188160 / 188160

GCD(245, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 245, 768, 15, 989 is 1

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1. What is the GCD of 245, 768, 15, 989?

GCD of 245, 768, 15, 989 is 1

2. Where do I get the detailed procedure to find GCD of 245, 768, 15, 989?

You can find a detailed procedure to find GCD of 245, 768, 15, 989 on our page.

3. How to find GCD of 245, 768, 15, 989 on a calculator?

You can find the GCD of 245, 768, 15, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.