GCD of 416, 279, 70, 106 Calculator

Given Input numbers are 416, 279, 70, 106

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 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 416, 279, 70, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 279, 70, 106 is 1.

Therefore, GCD of numbers 416, 279, 70, 106 is 1

Given Input Data is 416, 279, 70, 106

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 279 is 3 x 3 x 31

Prime Factorization of 70 is 2 x 5 x 7

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(416, 279) = 116064

GCD(416, 279) = ( 416 x 279 ) / 116064

GCD(416, 279) = 116064 / 116064

GCD(416, 279) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 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 416, 279, 70, 106 is 1

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1. What is the GCD of 416, 279, 70, 106?

GCD of 416, 279, 70, 106 is 1

2. Where do I get the detailed procedure to find GCD of 416, 279, 70, 106?

You can find a detailed procedure to find GCD of 416, 279, 70, 106 on our page.

3. How to find GCD of 416, 279, 70, 106 on a calculator?

You can find the GCD of 416, 279, 70, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.