GCD of 705, 111, 429, 266 Calculator

Given Input numbers are 705, 111, 429, 266

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 705, 111, 429, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 111, 429, 266 is 1.

Therefore, GCD of numbers 705, 111, 429, 266 is 1

Given Input Data is 705, 111, 429, 266

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 111 is 3 x 37

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 266 is 2 x 7 x 19

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(705, 111) = 26085

GCD(705, 111) = ( 705 x 111 ) / 26085

GCD(705, 111) = 78255 / 26085

GCD(705, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 429

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

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

GCD(3, 429) = 1287 / 429

GCD(3, 429) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 266

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

LCM(3, 266) = 798

GCD(3, 266) = ( 3 x 266 ) / 798

GCD(3, 266) = 798 / 798

GCD(3, 266) = 1

GCD of 705, 111, 429, 266 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 443, 393, 865
• GCD of 632, 473, 495, 860
• GCD of 470, 823, 288, 790
• GCD of 447, 785, 558, 432
• GCD of 334, 512, 363, 907

1. What is the GCD of 705, 111, 429, 266?

GCD of 705, 111, 429, 266 is 1

2. Where do I get the detailed procedure to find GCD of 705, 111, 429, 266?

You can find a detailed procedure to find GCD of 705, 111, 429, 266 on our page.

3. How to find GCD of 705, 111, 429, 266 on a calculator?

You can find the GCD of 705, 111, 429, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.