GCD of 310, 634, 40, 178 Calculator

Given Input numbers are 310, 634, 40, 178

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 178

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

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 310, 634, 40, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 634, 40, 178 is 2.

Therefore, GCD of numbers 310, 634, 40, 178 is 2

Given Input Data is 310, 634, 40, 178

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 634 is 2 x 317

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 178 is 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(310, 634) = 98270

GCD(310, 634) = ( 310 x 634 ) / 98270

GCD(310, 634) = 196540 / 98270

GCD(310, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 310, 634, 40, 178 is 2

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1. What is the GCD of 310, 634, 40, 178?

GCD of 310, 634, 40, 178 is 2

2. Where do I get the detailed procedure to find GCD of 310, 634, 40, 178?

You can find a detailed procedure to find GCD of 310, 634, 40, 178 on our page.

3. How to find GCD of 310, 634, 40, 178 on a calculator?

You can find the GCD of 310, 634, 40, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.