GCD of 353, 543, 67, 714 Calculator

Given Input numbers are 353, 543, 67, 714

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 353, 543, 67, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 543, 67, 714 is 1.

Therefore, GCD of numbers 353, 543, 67, 714 is 1

Given Input Data is 353, 543, 67, 714

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

Prime Factorization of 353 is 353

Prime Factorization of 543 is 3 x 181

Prime Factorization of 67 is 67

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(353, 543) = 191679

GCD(353, 543) = ( 353 x 543 ) / 191679

GCD(353, 543) = 191679 / 191679

GCD(353, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 353, 543, 67, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 488, 12, 181
• GCD of 111, 960, 93, 776
• GCD of 935, 401, 58, 633
• GCD of 340, 564, 52, 182
• GCD of 990, 999, 27, 326

1. What is the GCD of 353, 543, 67, 714?

GCD of 353, 543, 67, 714 is 1

2. Where do I get the detailed procedure to find GCD of 353, 543, 67, 714?

You can find a detailed procedure to find GCD of 353, 543, 67, 714 on our page.

3. How to find GCD of 353, 543, 67, 714 on a calculator?

You can find the GCD of 353, 543, 67, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.