GCD of 208, 714, 348, 420 Calculator

Given Input numbers are 208, 714, 348, 420

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

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

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 208, 714, 348, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 714, 348, 420 is 2.

Therefore, GCD of numbers 208, 714, 348, 420 is 2

Given Input Data is 208, 714, 348, 420

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(208, 714) = 74256

GCD(208, 714) = ( 208 x 714 ) / 74256

GCD(208, 714) = 148512 / 74256

GCD(208, 714) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 420

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

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

GCD(2, 420) = 840 / 420

GCD(2, 420) = 2

GCD of 208, 714, 348, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 113, 145, 126
• GCD of 834, 347, 924, 307
• GCD of 763, 239, 904, 391
• GCD of 514, 714, 532, 570
• GCD of 236, 564, 224, 455

1. What is the GCD of 208, 714, 348, 420?

GCD of 208, 714, 348, 420 is 2

2. Where do I get the detailed procedure to find GCD of 208, 714, 348, 420?

You can find a detailed procedure to find GCD of 208, 714, 348, 420 on our page.

3. How to find GCD of 208, 714, 348, 420 on a calculator?

You can find the GCD of 208, 714, 348, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.