GCD of 89, 714, 427, 943 Calculator

Given Input numbers are 89, 714, 427, 943

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 89, 714, 427, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 714, 427, 943 is 1.

Therefore, GCD of numbers 89, 714, 427, 943 is 1

Given Input Data is 89, 714, 427, 943

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

Prime Factorization of 89 is 89

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 943 is 23 x 41

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(89, 714) = 63546

GCD(89, 714) = ( 89 x 714 ) / 63546

GCD(89, 714) = 63546 / 63546

GCD(89, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 89, 714, 427, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 713, 725, 429
• GCD of 96, 496, 648, 117
• GCD of 24, 112, 722, 644
• GCD of 51, 641, 192, 234
• GCD of 85, 209, 259, 206

1. What is the GCD of 89, 714, 427, 943?

GCD of 89, 714, 427, 943 is 1

2. Where do I get the detailed procedure to find GCD of 89, 714, 427, 943?

You can find a detailed procedure to find GCD of 89, 714, 427, 943 on our page.

3. How to find GCD of 89, 714, 427, 943 on a calculator?

You can find the GCD of 89, 714, 427, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.