GCD of 416, 211, 67, 338 Calculator

Given Input numbers are 416, 211, 67, 338

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 67

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

1, 67

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 416, 211, 67, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 211, 67, 338 is 1.

Therefore, GCD of numbers 416, 211, 67, 338 is 1

Given Input Data is 416, 211, 67, 338

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 211 is 211

Prime Factorization of 67 is 67

Prime Factorization of 338 is 2 x 13 x 13

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(416, 211) = 87776

GCD(416, 211) = ( 416 x 211 ) / 87776

GCD(416, 211) = 87776 / 87776

GCD(416, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 416, 211, 67, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 199, 91, 145
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• GCD of 692, 452, 52, 854
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• GCD of 648, 851, 48, 998

1. What is the GCD of 416, 211, 67, 338?

GCD of 416, 211, 67, 338 is 1

2. Where do I get the detailed procedure to find GCD of 416, 211, 67, 338?

You can find a detailed procedure to find GCD of 416, 211, 67, 338 on our page.

3. How to find GCD of 416, 211, 67, 338 on a calculator?

You can find the GCD of 416, 211, 67, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.