GCD of 20, 536, 416, 714 Calculator

Given Input numbers are 20, 536, 416, 714

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

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 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 20, 536, 416, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 536, 416, 714 is 2.

Therefore, GCD of numbers 20, 536, 416, 714 is 2

Given Input Data is 20, 536, 416, 714

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 536 is 2 x 2 x 2 x 67

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(20, 536) = 2680

GCD(20, 536) = ( 20 x 536 ) / 2680

GCD(20, 536) = 10720 / 2680

GCD(20, 536) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 416

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

LCM(4, 416) = 416

GCD(4, 416) = ( 4 x 416 ) / 416

GCD(4, 416) = 1664 / 416

GCD(4, 416) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 714

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

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

GCD(4, 714) = 2856 / 1428

GCD(4, 714) = 2

GCD of 20, 536, 416, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 103, 556, 235
• GCD of 83, 376, 609, 270
• GCD of 76, 347, 426, 248
• GCD of 33, 480, 869, 383
• GCD of 24, 866, 134, 680

1. What is the GCD of 20, 536, 416, 714?

GCD of 20, 536, 416, 714 is 2

2. Where do I get the detailed procedure to find GCD of 20, 536, 416, 714?

You can find a detailed procedure to find GCD of 20, 536, 416, 714 on our page.

3. How to find GCD of 20, 536, 416, 714 on a calculator?

You can find the GCD of 20, 536, 416, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.