GCD of 756, 552, 24, 761 Calculator

Given Input numbers are 756, 552, 24, 761

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

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 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 756, 552, 24, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 552, 24, 761 is 1.

Therefore, GCD of numbers 756, 552, 24, 761 is 1

Given Input Data is 756, 552, 24, 761

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

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 761 is 761

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(756, 552) = 34776

GCD(756, 552) = ( 756 x 552 ) / 34776

GCD(756, 552) = 417312 / 34776

GCD(756, 552) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 24

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

LCM(12, 24) = 24

GCD(12, 24) = ( 12 x 24 ) / 24

GCD(12, 24) = 288 / 24

GCD(12, 24) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 761

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

LCM(12, 761) = 9132

GCD(12, 761) = ( 12 x 761 ) / 9132

GCD(12, 761) = 9132 / 9132

GCD(12, 761) = 1

GCD of 756, 552, 24, 761 is 1

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1. What is the GCD of 756, 552, 24, 761?

GCD of 756, 552, 24, 761 is 1

2. Where do I get the detailed procedure to find GCD of 756, 552, 24, 761?

You can find a detailed procedure to find GCD of 756, 552, 24, 761 on our page.

3. How to find GCD of 756, 552, 24, 761 on a calculator?

You can find the GCD of 756, 552, 24, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.