GCD of 851, 496, 960, 320 Calculator

Given Input numbers are 851, 496, 960, 320

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 851, 496, 960, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 496, 960, 320 is 1.

Therefore, GCD of numbers 851, 496, 960, 320 is 1

Given Input Data is 851, 496, 960, 320

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

Prime Factorization of 851 is 23 x 37

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(851, 496) = 422096

GCD(851, 496) = ( 851 x 496 ) / 422096

GCD(851, 496) = 422096 / 422096

GCD(851, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 851, 496, 960, 320 is 1

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1. What is the GCD of 851, 496, 960, 320?

GCD of 851, 496, 960, 320 is 1

2. Where do I get the detailed procedure to find GCD of 851, 496, 960, 320?

You can find a detailed procedure to find GCD of 851, 496, 960, 320 on our page.

3. How to find GCD of 851, 496, 960, 320 on a calculator?

You can find the GCD of 851, 496, 960, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.