GCD of 880, 989, 171, 320 Calculator

Given Input numbers are 880, 989, 171, 320

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 989

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

1, 23, 43, 989

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 880, 989, 171, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 989, 171, 320 is 1.

Therefore, GCD of numbers 880, 989, 171, 320 is 1

Given Input Data is 880, 989, 171, 320

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 989 is 23 x 43

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(880, 989) = 870320

GCD(880, 989) = ( 880 x 989 ) / 870320

GCD(880, 989) = 870320 / 870320

GCD(880, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 880, 989, 171, 320 is 1

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1. What is the GCD of 880, 989, 171, 320?

GCD of 880, 989, 171, 320 is 1

2. Where do I get the detailed procedure to find GCD of 880, 989, 171, 320?

You can find a detailed procedure to find GCD of 880, 989, 171, 320 on our page.

3. How to find GCD of 880, 989, 171, 320 on a calculator?

You can find the GCD of 880, 989, 171, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.