GCD of 696, 960, 561, 732 Calculator

Given Input numbers are 696, 960, 561, 732

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 696, 960, 561, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 960, 561, 732 is 3.

Therefore, GCD of numbers 696, 960, 561, 732 is 3

Given Input Data is 696, 960, 561, 732

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 732 is 2 x 2 x 3 x 61

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(696, 960) = 27840

GCD(696, 960) = ( 696 x 960 ) / 27840

GCD(696, 960) = 668160 / 27840

GCD(696, 960) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 561

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

LCM(24, 561) = 4488

GCD(24, 561) = ( 24 x 561 ) / 4488

GCD(24, 561) = 13464 / 4488

GCD(24, 561) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

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

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3

GCD of 696, 960, 561, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 421, 376, 297
• GCD of 227, 180, 664, 830
• GCD of 564, 518, 700, 406
• GCD of 860, 627, 314, 755
• GCD of 277, 676, 982, 503

1. What is the GCD of 696, 960, 561, 732?

GCD of 696, 960, 561, 732 is 3

2. Where do I get the detailed procedure to find GCD of 696, 960, 561, 732?

You can find a detailed procedure to find GCD of 696, 960, 561, 732 on our page.

3. How to find GCD of 696, 960, 561, 732 on a calculator?

You can find the GCD of 696, 960, 561, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.