GCD of 264, 320, 692, 704 Calculator

Given Input numbers are 264, 320, 692, 704

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

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

Greatest Common Divisior

We found the divisors of 264, 320, 692, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 320, 692, 704 is 4.

Therefore, GCD of numbers 264, 320, 692, 704 is 4

Given Input Data is 264, 320, 692, 704

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 692 is 2 x 2 x 173

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

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(264, 320) = 10560

GCD(264, 320) = ( 264 x 320 ) / 10560

GCD(264, 320) = 84480 / 10560

GCD(264, 320) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 692

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

LCM(8, 692) = 1384

GCD(8, 692) = ( 8 x 692 ) / 1384

GCD(8, 692) = 5536 / 1384

GCD(8, 692) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 704

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

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

GCD(4, 704) = 2816 / 704

GCD(4, 704) = 4

GCD of 264, 320, 692, 704 is 4

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• GCD of 983, 185, 634, 741
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1. What is the GCD of 264, 320, 692, 704?

GCD of 264, 320, 692, 704 is 4

2. Where do I get the detailed procedure to find GCD of 264, 320, 692, 704?

You can find a detailed procedure to find GCD of 264, 320, 692, 704 on our page.

3. How to find GCD of 264, 320, 692, 704 on a calculator?

You can find the GCD of 264, 320, 692, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.