GCD of 264, 924, 10, 735 Calculator

Given Input numbers are 264, 924, 10, 735

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 264, 924, 10, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 924, 10, 735 is 1.

Therefore, GCD of numbers 264, 924, 10, 735 is 1

Given Input Data is 264, 924, 10, 735

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 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 10 is 2 x 5

Prime Factorization of 735 is 3 x 5 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 924) = 1848

GCD(264, 924) = ( 264 x 924 ) / 1848

GCD(264, 924) = 243936 / 1848

GCD(264, 924) = 132

Step2:

Here we consider the GCD from the above i.e. 132 as first number and the next as 10

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

LCM(132, 10) = 660

GCD(132, 10) = ( 132 x 10 ) / 660

GCD(132, 10) = 1320 / 660

GCD(132, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 264, 924, 10, 735 is 1

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1. What is the GCD of 264, 924, 10, 735?

GCD of 264, 924, 10, 735 is 1

2. Where do I get the detailed procedure to find GCD of 264, 924, 10, 735?

You can find a detailed procedure to find GCD of 264, 924, 10, 735 on our page.

3. How to find GCD of 264, 924, 10, 735 on a calculator?

You can find the GCD of 264, 924, 10, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.