GCD of 704, 784, 952, 506 Calculator

Given Input numbers are 704, 784, 952, 506

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 704, 784, 952, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 784, 952, 506 is 2.

Therefore, GCD of numbers 704, 784, 952, 506 is 2

Given Input Data is 704, 784, 952, 506

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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

Prime Factorization of 506 is 2 x 11 x 23

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(704, 784) = 34496

GCD(704, 784) = ( 704 x 784 ) / 34496

GCD(704, 784) = 551936 / 34496

GCD(704, 784) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 952

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

LCM(16, 952) = 1904

GCD(16, 952) = ( 16 x 952 ) / 1904

GCD(16, 952) = 15232 / 1904

GCD(16, 952) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 506

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

LCM(8, 506) = 2024

GCD(8, 506) = ( 8 x 506 ) / 2024

GCD(8, 506) = 4048 / 2024

GCD(8, 506) = 2

GCD of 704, 784, 952, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 328, 958, 508
• GCD of 418, 612, 762, 886
• GCD of 574, 230, 171, 420
• GCD of 379, 957, 727, 759
• GCD of 324, 507, 151, 267

1. What is the GCD of 704, 784, 952, 506?

GCD of 704, 784, 952, 506 is 2

2. Where do I get the detailed procedure to find GCD of 704, 784, 952, 506?

You can find a detailed procedure to find GCD of 704, 784, 952, 506 on our page.

3. How to find GCD of 704, 784, 952, 506 on a calculator?

You can find the GCD of 704, 784, 952, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.