GCD of 749, 455, 317, 989 Calculator

Given Input numbers are 749, 455, 317, 989

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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 749, 455, 317, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 455, 317, 989 is 1.

Therefore, GCD of numbers 749, 455, 317, 989 is 1

Given Input Data is 749, 455, 317, 989

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 317 is 317

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(749, 455) = 48685

GCD(749, 455) = ( 749 x 455 ) / 48685

GCD(749, 455) = 340795 / 48685

GCD(749, 455) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 317

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

LCM(7, 317) = 2219

GCD(7, 317) = ( 7 x 317 ) / 2219

GCD(7, 317) = 2219 / 2219

GCD(7, 317) = 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 749, 455, 317, 989 is 1

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1. What is the GCD of 749, 455, 317, 989?

GCD of 749, 455, 317, 989 is 1

2. Where do I get the detailed procedure to find GCD of 749, 455, 317, 989?

You can find a detailed procedure to find GCD of 749, 455, 317, 989 on our page.

3. How to find GCD of 749, 455, 317, 989 on a calculator?

You can find the GCD of 749, 455, 317, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.