GCD of 214, 560, 66, 570 Calculator

Given Input numbers are 214, 560, 66, 570

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 214, 560, 66, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 560, 66, 570 is 2.

Therefore, GCD of numbers 214, 560, 66, 570 is 2

Given Input Data is 214, 560, 66, 570

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 570 is 2 x 3 x 5 x 19

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, 560) = 59920

GCD(214, 560) = ( 214 x 560 ) / 59920

GCD(214, 560) = 119840 / 59920

GCD(214, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 570

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

LCM(2, 570) = 570

GCD(2, 570) = ( 2 x 570 ) / 570

GCD(2, 570) = 1140 / 570

GCD(2, 570) = 2

GCD of 214, 560, 66, 570 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 320, 94, 437
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• GCD of 930, 947, 73, 273
• GCD of 570, 356, 70, 651
• GCD of 786, 956, 13, 427

1. What is the GCD of 214, 560, 66, 570?

GCD of 214, 560, 66, 570 is 2

2. Where do I get the detailed procedure to find GCD of 214, 560, 66, 570?

You can find a detailed procedure to find GCD of 214, 560, 66, 570 on our page.

3. How to find GCD of 214, 560, 66, 570 on a calculator?

You can find the GCD of 214, 560, 66, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.