GCD of 89, 178, 132, 314 Calculator

Given Input numbers are 89, 178, 132, 314

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

Divisors of 89

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

1, 89

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 89, 178, 132, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 178, 132, 314 is 1.

Therefore, GCD of numbers 89, 178, 132, 314 is 1

Given Input Data is 89, 178, 132, 314

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

Prime Factorization of 89 is 89

Prime Factorization of 178 is 2 x 89

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 314 is 2 x 157

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(89, 178) = 178

GCD(89, 178) = ( 89 x 178 ) / 178

GCD(89, 178) = 15842 / 178

GCD(89, 178) = 89

Step2:

Here we consider the GCD from the above i.e. 89 as first number and the next as 132

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

LCM(89, 132) = 11748

GCD(89, 132) = ( 89 x 132 ) / 11748

GCD(89, 132) = 11748 / 11748

GCD(89, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 89, 178, 132, 314 is 1

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• GCD of 37, 548, 382, 749
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• GCD of 34, 122, 487, 256

1. What is the GCD of 89, 178, 132, 314?

GCD of 89, 178, 132, 314 is 1

2. Where do I get the detailed procedure to find GCD of 89, 178, 132, 314?

You can find a detailed procedure to find GCD of 89, 178, 132, 314 on our page.

3. How to find GCD of 89, 178, 132, 314 on a calculator?

You can find the GCD of 89, 178, 132, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.