GCD of 952, 663, 960, 807 Calculator

Given Input numbers are 952, 663, 960, 807

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 952, 663, 960, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 663, 960, 807 is 1.

Therefore, GCD of numbers 952, 663, 960, 807 is 1

Given Input Data is 952, 663, 960, 807

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 663 is 3 x 13 x 17

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

Prime Factorization of 807 is 3 x 269

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(952, 663) = 37128

GCD(952, 663) = ( 952 x 663 ) / 37128

GCD(952, 663) = 631176 / 37128

GCD(952, 663) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 960

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

LCM(17, 960) = 16320

GCD(17, 960) = ( 17 x 960 ) / 16320

GCD(17, 960) = 16320 / 16320

GCD(17, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 952, 663, 960, 807 is 1

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1. What is the GCD of 952, 663, 960, 807?

GCD of 952, 663, 960, 807 is 1

2. Where do I get the detailed procedure to find GCD of 952, 663, 960, 807?

You can find a detailed procedure to find GCD of 952, 663, 960, 807 on our page.

3. How to find GCD of 952, 663, 960, 807 on a calculator?

You can find the GCD of 952, 663, 960, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.