GCD of 930, 624, 89, 176 Calculator

Given Input numbers are 930, 624, 89, 176

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 930, 624, 89, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 624, 89, 176 is 1.

Therefore, GCD of numbers 930, 624, 89, 176 is 1

Given Input Data is 930, 624, 89, 176

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 89 is 89

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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(930, 624) = 96720

GCD(930, 624) = ( 930 x 624 ) / 96720

GCD(930, 624) = 580320 / 96720

GCD(930, 624) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 89

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

LCM(6, 89) = 534

GCD(6, 89) = ( 6 x 89 ) / 534

GCD(6, 89) = 534 / 534

GCD(6, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 930, 624, 89, 176 is 1

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1. What is the GCD of 930, 624, 89, 176?

GCD of 930, 624, 89, 176 is 1

2. Where do I get the detailed procedure to find GCD of 930, 624, 89, 176?

You can find a detailed procedure to find GCD of 930, 624, 89, 176 on our page.

3. How to find GCD of 930, 624, 89, 176 on a calculator?

You can find the GCD of 930, 624, 89, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.