GCD of 47, 174, 314, 620 Calculator

Given Input numbers are 47, 174, 314, 620

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 314

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

1, 2, 157, 314

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 47, 174, 314, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 174, 314, 620 is 1.

Therefore, GCD of numbers 47, 174, 314, 620 is 1

Given Input Data is 47, 174, 314, 620

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

Prime Factorization of 47 is 47

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 314 is 2 x 157

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(47, 174) = 8178

GCD(47, 174) = ( 47 x 174 ) / 8178

GCD(47, 174) = 8178 / 8178

GCD(47, 174) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 47, 174, 314, 620 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 394, 355, 782
• GCD of 54, 916, 373, 690
• GCD of 41, 945, 281, 899
• GCD of 43, 634, 145, 465
• GCD of 58, 143, 560, 275

1. What is the GCD of 47, 174, 314, 620?

GCD of 47, 174, 314, 620 is 1

2. Where do I get the detailed procedure to find GCD of 47, 174, 314, 620?

You can find a detailed procedure to find GCD of 47, 174, 314, 620 on our page.

3. How to find GCD of 47, 174, 314, 620 on a calculator?

You can find the GCD of 47, 174, 314, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.