GCD of 56, 391, 916, 735 Calculator

Given Input numbers are 56, 391, 916, 735

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 56, 391, 916, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 391, 916, 735 is 1.

Therefore, GCD of numbers 56, 391, 916, 735 is 1

Given Input Data is 56, 391, 916, 735

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 391 is 17 x 23

Prime Factorization of 916 is 2 x 2 x 229

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(56, 391) = 21896

GCD(56, 391) = ( 56 x 391 ) / 21896

GCD(56, 391) = 21896 / 21896

GCD(56, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 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 56, 391, 916, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 289, 178, 717
• GCD of 24, 695, 484, 804
• GCD of 23, 773, 592, 104
• GCD of 83, 273, 580, 531
• GCD of 60, 753, 596, 207

1. What is the GCD of 56, 391, 916, 735?

GCD of 56, 391, 916, 735 is 1

2. Where do I get the detailed procedure to find GCD of 56, 391, 916, 735?

You can find a detailed procedure to find GCD of 56, 391, 916, 735 on our page.

3. How to find GCD of 56, 391, 916, 735 on a calculator?

You can find the GCD of 56, 391, 916, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.