GCD of 356, 872, 55, 703 Calculator

Given Input numbers are 356, 872, 55, 703

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 356, 872, 55, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 872, 55, 703 is 1.

Therefore, GCD of numbers 356, 872, 55, 703 is 1

Given Input Data is 356, 872, 55, 703

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 55 is 5 x 11

Prime Factorization of 703 is 19 x 37

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(356, 872) = 77608

GCD(356, 872) = ( 356 x 872 ) / 77608

GCD(356, 872) = 310432 / 77608

GCD(356, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 55

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

LCM(4, 55) = 220

GCD(4, 55) = ( 4 x 55 ) / 220

GCD(4, 55) = 220 / 220

GCD(4, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 356, 872, 55, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 168, 10, 686
• GCD of 814, 584, 26, 546
• GCD of 717, 284, 17, 774
• GCD of 488, 265, 81, 316
• GCD of 366, 438, 27, 266

1. What is the GCD of 356, 872, 55, 703?

GCD of 356, 872, 55, 703 is 1

2. Where do I get the detailed procedure to find GCD of 356, 872, 55, 703?

You can find a detailed procedure to find GCD of 356, 872, 55, 703 on our page.

3. How to find GCD of 356, 872, 55, 703 on a calculator?

You can find the GCD of 356, 872, 55, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.