GCD of 214, 690, 105, 883 Calculator

Given Input numbers are 214, 690, 105, 883

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Greatest Common Divisior

We found the divisors of 214, 690, 105, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 690, 105, 883 is 1.

Therefore, GCD of numbers 214, 690, 105, 883 is 1

Given Input Data is 214, 690, 105, 883

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 883 is 883

The above numbers do not have any common prime factor. So GCD is 1

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, 690) = 73830

GCD(214, 690) = ( 214 x 690 ) / 73830

GCD(214, 690) = 147660 / 73830

GCD(214, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 883

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

LCM(1, 883) = 883

GCD(1, 883) = ( 1 x 883 ) / 883

GCD(1, 883) = 883 / 883

GCD(1, 883) = 1

GCD of 214, 690, 105, 883 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 221, 119, 871
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• GCD of 264, 785, 599, 586
• GCD of 255, 216, 598, 106

1. What is the GCD of 214, 690, 105, 883?

GCD of 214, 690, 105, 883 is 1

2. Where do I get the detailed procedure to find GCD of 214, 690, 105, 883?

You can find a detailed procedure to find GCD of 214, 690, 105, 883 on our page.

3. How to find GCD of 214, 690, 105, 883 on a calculator?

You can find the GCD of 214, 690, 105, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.