GCD of 17, 951, 821, 735 Calculator

Given Input numbers are 17, 951, 821, 735

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 17, 951, 821, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 951, 821, 735 is 1.

Therefore, GCD of numbers 17, 951, 821, 735 is 1

Given Input Data is 17, 951, 821, 735

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

Prime Factorization of 17 is 17

Prime Factorization of 951 is 3 x 317

Prime Factorization of 821 is 821

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(17, 951) = 16167

GCD(17, 951) = ( 17 x 951 ) / 16167

GCD(17, 951) = 16167 / 16167

GCD(17, 951) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 17, 951, 821, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 470, 993, 521
• GCD of 33, 871, 383, 775
• GCD of 70, 892, 245, 998
• GCD of 71, 345, 693, 294
• GCD of 88, 654, 264, 731

1. What is the GCD of 17, 951, 821, 735?

GCD of 17, 951, 821, 735 is 1

2. Where do I get the detailed procedure to find GCD of 17, 951, 821, 735?

You can find a detailed procedure to find GCD of 17, 951, 821, 735 on our page.

3. How to find GCD of 17, 951, 821, 735 on a calculator?

You can find the GCD of 17, 951, 821, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.