GCD of 174, 414, 94, 677 Calculator

Given Input numbers are 174, 414, 94, 677

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 174, 414, 94, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 414, 94, 677 is 1.

Therefore, GCD of numbers 174, 414, 94, 677 is 1

Given Input Data is 174, 414, 94, 677

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 94 is 2 x 47

Prime Factorization of 677 is 677

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(174, 414) = 12006

GCD(174, 414) = ( 174 x 414 ) / 12006

GCD(174, 414) = 72036 / 12006

GCD(174, 414) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 94

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

LCM(6, 94) = 282

GCD(6, 94) = ( 6 x 94 ) / 282

GCD(6, 94) = 564 / 282

GCD(6, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

GCD of 174, 414, 94, 677 is 1

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1. What is the GCD of 174, 414, 94, 677?

GCD of 174, 414, 94, 677 is 1

2. Where do I get the detailed procedure to find GCD of 174, 414, 94, 677?

You can find a detailed procedure to find GCD of 174, 414, 94, 677 on our page.

3. How to find GCD of 174, 414, 94, 677 on a calculator?

You can find the GCD of 174, 414, 94, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.