GCD of 975, 801, 852 Calculator

Given Input numbers are 975, 801, 852

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 975, 801, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 801, 852 is 3.

Therefore, GCD of numbers 975, 801, 852 is 3

Given Input Data is 975, 801, 852

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 852 is 2 x 2 x 3 x 71

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(975, 801) = 260325

GCD(975, 801) = ( 975 x 801 ) / 260325

GCD(975, 801) = 780975 / 260325

GCD(975, 801) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 852

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

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

GCD(3, 852) = 2556 / 852

GCD(3, 852) = 3

GCD of 975, 801, 852 is 3

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1. What is the GCD of 975, 801, 852?

GCD of 975, 801, 852 is 3

2. Where do I get the detailed procedure to find GCD of 975, 801, 852?

You can find a detailed procedure to find GCD of 975, 801, 852 on our page.

3. How to find GCD of 975, 801, 852 on a calculator?

You can find the GCD of 975, 801, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.