GCD of 66, 705, 657, 605 Calculator

Given Input numbers are 66, 705, 657, 605

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 66, 705, 657, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 705, 657, 605 is 1.

Therefore, GCD of numbers 66, 705, 657, 605 is 1

Given Input Data is 66, 705, 657, 605

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 605 is 5 x 11 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(66, 705) = 15510

GCD(66, 705) = ( 66 x 705 ) / 15510

GCD(66, 705) = 46530 / 15510

GCD(66, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 657

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

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

GCD(3, 657) = 1971 / 657

GCD(3, 657) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 605

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

LCM(3, 605) = 1815

GCD(3, 605) = ( 3 x 605 ) / 1815

GCD(3, 605) = 1815 / 1815

GCD(3, 605) = 1

GCD of 66, 705, 657, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 784, 993, 299
• GCD of 86, 286, 662, 223
• GCD of 32, 151, 135, 970
• GCD of 66, 490, 334, 940
• GCD of 94, 954, 897, 235

1. What is the GCD of 66, 705, 657, 605?

GCD of 66, 705, 657, 605 is 1

2. Where do I get the detailed procedure to find GCD of 66, 705, 657, 605?

You can find a detailed procedure to find GCD of 66, 705, 657, 605 on our page.

3. How to find GCD of 66, 705, 657, 605 on a calculator?

You can find the GCD of 66, 705, 657, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.