GCD of 588, 105, 356 Calculator

Given Input numbers are 588, 105, 356

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 356

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

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 588, 105, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 105, 356 is 1.

Therefore, GCD of numbers 588, 105, 356 is 1

Given Input Data is 588, 105, 356

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 356 is 2 x 2 x 89

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(588, 105) = 2940

GCD(588, 105) = ( 588 x 105 ) / 2940

GCD(588, 105) = 61740 / 2940

GCD(588, 105) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 356

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

LCM(21, 356) = 7476

GCD(21, 356) = ( 21 x 356 ) / 7476

GCD(21, 356) = 7476 / 7476

GCD(21, 356) = 1

GCD of 588, 105, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 314, 868
• GCD of 617, 506, 785
• GCD of 392, 921, 780
• GCD of 512, 357, 382
• GCD of 633, 988, 353

1. What is the GCD of 588, 105, 356?

GCD of 588, 105, 356 is 1

2. Where do I get the detailed procedure to find GCD of 588, 105, 356?

You can find a detailed procedure to find GCD of 588, 105, 356 on our page.

3. How to find GCD of 588, 105, 356 on a calculator?

You can find the GCD of 588, 105, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.