GCD of 964, 852, 800, 606 Calculator

Given Input numbers are 964, 852, 800, 606

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 964, 852, 800, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 852, 800, 606 is 2.

Therefore, GCD of numbers 964, 852, 800, 606 is 2

Given Input Data is 964, 852, 800, 606

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

Prime Factorization of 964 is 2 x 2 x 241

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 606 is 2 x 3 x 101

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(964, 852) = 205332

GCD(964, 852) = ( 964 x 852 ) / 205332

GCD(964, 852) = 821328 / 205332

GCD(964, 852) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 800

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

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

GCD(4, 800) = 3200 / 800

GCD(4, 800) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 606

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

LCM(4, 606) = 1212

GCD(4, 606) = ( 4 x 606 ) / 1212

GCD(4, 606) = 2424 / 1212

GCD(4, 606) = 2

GCD of 964, 852, 800, 606 is 2

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1. What is the GCD of 964, 852, 800, 606?

GCD of 964, 852, 800, 606 is 2

2. Where do I get the detailed procedure to find GCD of 964, 852, 800, 606?

You can find a detailed procedure to find GCD of 964, 852, 800, 606 on our page.

3. How to find GCD of 964, 852, 800, 606 on a calculator?

You can find the GCD of 964, 852, 800, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.