GCD of 664, 756, 952, 404 Calculator

Given Input numbers are 664, 756, 952, 404

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 664, 756, 952, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 756, 952, 404 is 4.

Therefore, GCD of numbers 664, 756, 952, 404 is 4

Given Input Data is 664, 756, 952, 404

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 404 is 2 x 2 x 101

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(664, 756) = 125496

GCD(664, 756) = ( 664 x 756 ) / 125496

GCD(664, 756) = 501984 / 125496

GCD(664, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 952

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

LCM(4, 952) = 952

GCD(4, 952) = ( 4 x 952 ) / 952

GCD(4, 952) = 3808 / 952

GCD(4, 952) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 404

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

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

GCD(4, 404) = 1616 / 404

GCD(4, 404) = 4

GCD of 664, 756, 952, 404 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 118, 261, 735
• GCD of 522, 162, 903, 417
• GCD of 400, 486, 213, 128
• GCD of 620, 881, 615, 352
• GCD of 355, 398, 956, 829

1. What is the GCD of 664, 756, 952, 404?

GCD of 664, 756, 952, 404 is 4

2. Where do I get the detailed procedure to find GCD of 664, 756, 952, 404?

You can find a detailed procedure to find GCD of 664, 756, 952, 404 on our page.

3. How to find GCD of 664, 756, 952, 404 on a calculator?

You can find the GCD of 664, 756, 952, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.