GCD of 214, 294, 544, 680 Calculator

Given Input numbers are 214, 294, 544, 680

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

Divisors of 214

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

1, 2, 107, 214

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 214, 294, 544, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 294, 544, 680 is 2.

Therefore, GCD of numbers 214, 294, 544, 680 is 2

Given Input Data is 214, 294, 544, 680

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 680 is 2 x 2 x 2 x 5 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(214, 294) = 31458

GCD(214, 294) = ( 214 x 294 ) / 31458

GCD(214, 294) = 62916 / 31458

GCD(214, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 544

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

LCM(2, 544) = 544

GCD(2, 544) = ( 2 x 544 ) / 544

GCD(2, 544) = 1088 / 544

GCD(2, 544) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 214, 294, 544, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 126, 141, 533
• GCD of 909, 971, 244, 556
• GCD of 380, 920, 631, 944
• GCD of 647, 505, 148, 530
• GCD of 706, 175, 340, 189

1. What is the GCD of 214, 294, 544, 680?

GCD of 214, 294, 544, 680 is 2

2. Where do I get the detailed procedure to find GCD of 214, 294, 544, 680?

You can find a detailed procedure to find GCD of 214, 294, 544, 680 on our page.

3. How to find GCD of 214, 294, 544, 680 on a calculator?

You can find the GCD of 214, 294, 544, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.