GCD of 416, 168, 31, 196 Calculator

Given Input numbers are 416, 168, 31, 196

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 416, 168, 31, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 168, 31, 196 is 1.

Therefore, GCD of numbers 416, 168, 31, 196 is 1

Given Input Data is 416, 168, 31, 196

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 31 is 31

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(416, 168) = 8736

GCD(416, 168) = ( 416 x 168 ) / 8736

GCD(416, 168) = 69888 / 8736

GCD(416, 168) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 31

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

LCM(8, 31) = 248

GCD(8, 31) = ( 8 x 31 ) / 248

GCD(8, 31) = 248 / 248

GCD(8, 31) = 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 416, 168, 31, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 263, 57, 233
• GCD of 620, 545, 95, 152
• GCD of 844, 596, 54, 234
• GCD of 530, 897, 77, 655
• GCD of 260, 390, 95, 482

1. What is the GCD of 416, 168, 31, 196?

GCD of 416, 168, 31, 196 is 1

2. Where do I get the detailed procedure to find GCD of 416, 168, 31, 196?

You can find a detailed procedure to find GCD of 416, 168, 31, 196 on our page.

3. How to find GCD of 416, 168, 31, 196 on a calculator?

You can find the GCD of 416, 168, 31, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.