GCD of 76, 218, 211, 699 Calculator

Given Input numbers are 76, 218, 211, 699

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 76, 218, 211, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 218, 211, 699 is 1.

Therefore, GCD of numbers 76, 218, 211, 699 is 1

Given Input Data is 76, 218, 211, 699

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 218 is 2 x 109

Prime Factorization of 211 is 211

Prime Factorization of 699 is 3 x 233

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(76, 218) = 8284

GCD(76, 218) = ( 76 x 218 ) / 8284

GCD(76, 218) = 16568 / 8284

GCD(76, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 211

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

LCM(2, 211) = 422

GCD(2, 211) = ( 2 x 211 ) / 422

GCD(2, 211) = 422 / 422

GCD(2, 211) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 76, 218, 211, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 513, 943, 710
• GCD of 32, 517, 282, 831
• GCD of 96, 749, 993, 411
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• GCD of 64, 332, 954, 640

1. What is the GCD of 76, 218, 211, 699?

GCD of 76, 218, 211, 699 is 1

2. Where do I get the detailed procedure to find GCD of 76, 218, 211, 699?

You can find a detailed procedure to find GCD of 76, 218, 211, 699 on our page.

3. How to find GCD of 76, 218, 211, 699 on a calculator?

You can find the GCD of 76, 218, 211, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.