GCD of 476, 260, 67, 106 Calculator

Given Input numbers are 476, 260, 67, 106

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 67

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

1, 67

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 476, 260, 67, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 260, 67, 106 is 1.

Therefore, GCD of numbers 476, 260, 67, 106 is 1

Given Input Data is 476, 260, 67, 106

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 67 is 67

Prime Factorization of 106 is 2 x 53

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(476, 260) = 30940

GCD(476, 260) = ( 476 x 260 ) / 30940

GCD(476, 260) = 123760 / 30940

GCD(476, 260) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 476, 260, 67, 106 is 1

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1. What is the GCD of 476, 260, 67, 106?

GCD of 476, 260, 67, 106 is 1

2. Where do I get the detailed procedure to find GCD of 476, 260, 67, 106?

You can find a detailed procedure to find GCD of 476, 260, 67, 106 on our page.

3. How to find GCD of 476, 260, 67, 106 on a calculator?

You can find the GCD of 476, 260, 67, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.