GCD of 416, 214, 62, 138 Calculator

Given Input numbers are 416, 214, 62, 138

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 416, 214, 62, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 214, 62, 138 is 2.

Therefore, GCD of numbers 416, 214, 62, 138 is 2

Given Input Data is 416, 214, 62, 138

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 214 is 2 x 107

Prime Factorization of 62 is 2 x 31

Prime Factorization of 138 is 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 214) = 44512

GCD(416, 214) = ( 416 x 214 ) / 44512

GCD(416, 214) = 89024 / 44512

GCD(416, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 416, 214, 62, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 344, 68, 492
• GCD of 993, 770, 71, 131
• GCD of 984, 338, 70, 704
• GCD of 808, 801, 16, 468
• GCD of 390, 938, 45, 811

1. What is the GCD of 416, 214, 62, 138?

GCD of 416, 214, 62, 138 is 2

2. Where do I get the detailed procedure to find GCD of 416, 214, 62, 138?

You can find a detailed procedure to find GCD of 416, 214, 62, 138 on our page.

3. How to find GCD of 416, 214, 62, 138 on a calculator?

You can find the GCD of 416, 214, 62, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.