GCD of 349, 756, 553 Calculator

Given Input numbers are 349, 756, 553

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 553

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

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 349, 756, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 756, 553 is 1.

Therefore, GCD of numbers 349, 756, 553 is 1

Given Input Data is 349, 756, 553

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

Prime Factorization of 349 is 349

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 553 is 7 x 79

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(349, 756) = 263844

GCD(349, 756) = ( 349 x 756 ) / 263844

GCD(349, 756) = 263844 / 263844

GCD(349, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 349, 756, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 828, 775
• GCD of 684, 493, 614
• GCD of 120, 203, 214
• GCD of 248, 175, 199
• GCD of 434, 170, 888

1. What is the GCD of 349, 756, 553?

GCD of 349, 756, 553 is 1

2. Where do I get the detailed procedure to find GCD of 349, 756, 553?

You can find a detailed procedure to find GCD of 349, 756, 553 on our page.

3. How to find GCD of 349, 756, 553 on a calculator?

You can find the GCD of 349, 756, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.