GCD of 67, 317, 475, 196 Calculator

Given Input numbers are 67, 317, 475, 196

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 67, 317, 475, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 317, 475, 196 is 1.

Therefore, GCD of numbers 67, 317, 475, 196 is 1

Given Input Data is 67, 317, 475, 196

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

Prime Factorization of 67 is 67

Prime Factorization of 317 is 317

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(67, 317) = 21239

GCD(67, 317) = ( 67 x 317 ) / 21239

GCD(67, 317) = 21239 / 21239

GCD(67, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 67, 317, 475, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 353, 765, 544
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• GCD of 52, 696, 542, 253
• GCD of 70, 612, 982, 154

1. What is the GCD of 67, 317, 475, 196?

GCD of 67, 317, 475, 196 is 1

2. Where do I get the detailed procedure to find GCD of 67, 317, 475, 196?

You can find a detailed procedure to find GCD of 67, 317, 475, 196 on our page.

3. How to find GCD of 67, 317, 475, 196 on a calculator?

You can find the GCD of 67, 317, 475, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.