GCD of 357, 729, 697, 976 Calculator

Given Input numbers are 357, 729, 697, 976

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 357, 729, 697, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 729, 697, 976 is 1.

Therefore, GCD of numbers 357, 729, 697, 976 is 1

Given Input Data is 357, 729, 697, 976

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 697 is 17 x 41

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(357, 729) = 86751

GCD(357, 729) = ( 357 x 729 ) / 86751

GCD(357, 729) = 260253 / 86751

GCD(357, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 697

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

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

GCD(3, 697) = 2091 / 2091

GCD(3, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 357, 729, 697, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 771, 540, 873
• GCD of 454, 885, 448, 135
• GCD of 595, 167, 879, 941
• GCD of 277, 819, 902, 637
• GCD of 571, 610, 729, 899

1. What is the GCD of 357, 729, 697, 976?

GCD of 357, 729, 697, 976 is 1

2. Where do I get the detailed procedure to find GCD of 357, 729, 697, 976?

You can find a detailed procedure to find GCD of 357, 729, 697, 976 on our page.

3. How to find GCD of 357, 729, 697, 976 on a calculator?

You can find the GCD of 357, 729, 697, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.