GCD of 356, 496, 791, 855 Calculator

Given Input numbers are 356, 496, 791, 855

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 356, 496, 791, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 496, 791, 855 is 1.

Therefore, GCD of numbers 356, 496, 791, 855 is 1

Given Input Data is 356, 496, 791, 855

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 791 is 7 x 113

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(356, 496) = 44144

GCD(356, 496) = ( 356 x 496 ) / 44144

GCD(356, 496) = 176576 / 44144

GCD(356, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 791

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

LCM(4, 791) = 3164

GCD(4, 791) = ( 4 x 791 ) / 3164

GCD(4, 791) = 3164 / 3164

GCD(4, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 356, 496, 791, 855 is 1

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1. What is the GCD of 356, 496, 791, 855?

GCD of 356, 496, 791, 855 is 1

2. Where do I get the detailed procedure to find GCD of 356, 496, 791, 855?

You can find a detailed procedure to find GCD of 356, 496, 791, 855 on our page.

3. How to find GCD of 356, 496, 791, 855 on a calculator?

You can find the GCD of 356, 496, 791, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.