GCD of 40, 553, 668, 705 Calculator

Given Input numbers are 40, 553, 668, 705

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 40, 553, 668, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 553, 668, 705 is 1.

Therefore, GCD of numbers 40, 553, 668, 705 is 1

Given Input Data is 40, 553, 668, 705

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 553 is 7 x 79

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 705 is 3 x 5 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(40, 553) = 22120

GCD(40, 553) = ( 40 x 553 ) / 22120

GCD(40, 553) = 22120 / 22120

GCD(40, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 40, 553, 668, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 159, 309, 694
• GCD of 98, 935, 111, 843
• GCD of 32, 952, 805, 851
• GCD of 71, 330, 207, 802
• GCD of 74, 635, 353, 259

1. What is the GCD of 40, 553, 668, 705?

GCD of 40, 553, 668, 705 is 1

2. Where do I get the detailed procedure to find GCD of 40, 553, 668, 705?

You can find a detailed procedure to find GCD of 40, 553, 668, 705 on our page.

3. How to find GCD of 40, 553, 668, 705 on a calculator?

You can find the GCD of 40, 553, 668, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.