GCD of 804, 952, 452, 974 Calculator

Given Input numbers are 804, 952, 452, 974

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 804, 952, 452, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 952, 452, 974 is 2.

Therefore, GCD of numbers 804, 952, 452, 974 is 2

Given Input Data is 804, 952, 452, 974

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 974 is 2 x 487

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(804, 952) = 191352

GCD(804, 952) = ( 804 x 952 ) / 191352

GCD(804, 952) = 765408 / 191352

GCD(804, 952) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 452

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

LCM(4, 452) = 452

GCD(4, 452) = ( 4 x 452 ) / 452

GCD(4, 452) = 1808 / 452

GCD(4, 452) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 974

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

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

GCD(4, 974) = 3896 / 1948

GCD(4, 974) = 2

GCD of 804, 952, 452, 974 is 2

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1. What is the GCD of 804, 952, 452, 974?

GCD of 804, 952, 452, 974 is 2

2. Where do I get the detailed procedure to find GCD of 804, 952, 452, 974?

You can find a detailed procedure to find GCD of 804, 952, 452, 974 on our page.

3. How to find GCD of 804, 952, 452, 974 on a calculator?

You can find the GCD of 804, 952, 452, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.