GCD of 91, 689, 205, 385 Calculator

Given Input numbers are 91, 689, 205, 385

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 91, 689, 205, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 689, 205, 385 is 1.

Therefore, GCD of numbers 91, 689, 205, 385 is 1

Given Input Data is 91, 689, 205, 385

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 689 is 13 x 53

Prime Factorization of 205 is 5 x 41

Prime Factorization of 385 is 5 x 7 x 11

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(91, 689) = 4823

GCD(91, 689) = ( 91 x 689 ) / 4823

GCD(91, 689) = 62699 / 4823

GCD(91, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 205

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

LCM(13, 205) = 2665

GCD(13, 205) = ( 13 x 205 ) / 2665

GCD(13, 205) = 2665 / 2665

GCD(13, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 91, 689, 205, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 497, 835, 227
• GCD of 38, 537, 937, 293
• GCD of 93, 459, 153, 297
• GCD of 56, 659, 210, 896
• GCD of 16, 784, 838, 557

1. What is the GCD of 91, 689, 205, 385?

GCD of 91, 689, 205, 385 is 1

2. Where do I get the detailed procedure to find GCD of 91, 689, 205, 385?

You can find a detailed procedure to find GCD of 91, 689, 205, 385 on our page.

3. How to find GCD of 91, 689, 205, 385 on a calculator?

You can find the GCD of 91, 689, 205, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.