GCD of 375, 831, 952, 805 Calculator

Given Input numbers are 375, 831, 952, 805

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

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 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 375, 831, 952, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 831, 952, 805 is 1.

Therefore, GCD of numbers 375, 831, 952, 805 is 1

Given Input Data is 375, 831, 952, 805

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 831 is 3 x 277

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

Prime Factorization of 805 is 5 x 7 x 23

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(375, 831) = 103875

GCD(375, 831) = ( 375 x 831 ) / 103875

GCD(375, 831) = 311625 / 103875

GCD(375, 831) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 952

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

LCM(3, 952) = 2856

GCD(3, 952) = ( 3 x 952 ) / 2856

GCD(3, 952) = 2856 / 2856

GCD(3, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 375, 831, 952, 805 is 1

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1. What is the GCD of 375, 831, 952, 805?

GCD of 375, 831, 952, 805 is 1

2. Where do I get the detailed procedure to find GCD of 375, 831, 952, 805?

You can find a detailed procedure to find GCD of 375, 831, 952, 805 on our page.

3. How to find GCD of 375, 831, 952, 805 on a calculator?

You can find the GCD of 375, 831, 952, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.