GCD of 89, 676, 206, 376 Calculator

Given Input numbers are 89, 676, 206, 376

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 89, 676, 206, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 676, 206, 376 is 1.

Therefore, GCD of numbers 89, 676, 206, 376 is 1

Given Input Data is 89, 676, 206, 376

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

Prime Factorization of 89 is 89

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 206 is 2 x 103

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(89, 676) = 60164

GCD(89, 676) = ( 89 x 676 ) / 60164

GCD(89, 676) = 60164 / 60164

GCD(89, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 89, 676, 206, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 571, 603, 296
• GCD of 60, 262, 203, 972
• GCD of 82, 217, 115, 791
• GCD of 38, 447, 993, 943
• GCD of 32, 323, 896, 782

1. What is the GCD of 89, 676, 206, 376?

GCD of 89, 676, 206, 376 is 1

2. Where do I get the detailed procedure to find GCD of 89, 676, 206, 376?

You can find a detailed procedure to find GCD of 89, 676, 206, 376 on our page.

3. How to find GCD of 89, 676, 206, 376 on a calculator?

You can find the GCD of 89, 676, 206, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.