GCD of 288, 533, 992, 770 Calculator

Given Input numbers are 288, 533, 992, 770

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 288, 533, 992, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 533, 992, 770 is 1.

Therefore, GCD of numbers 288, 533, 992, 770 is 1

Given Input Data is 288, 533, 992, 770

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 533 is 13 x 41

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(288, 533) = 153504

GCD(288, 533) = ( 288 x 533 ) / 153504

GCD(288, 533) = 153504 / 153504

GCD(288, 533) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 288, 533, 992, 770 is 1

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1. What is the GCD of 288, 533, 992, 770?

GCD of 288, 533, 992, 770 is 1

2. Where do I get the detailed procedure to find GCD of 288, 533, 992, 770?

You can find a detailed procedure to find GCD of 288, 533, 992, 770 on our page.

3. How to find GCD of 288, 533, 992, 770 on a calculator?

You can find the GCD of 288, 533, 992, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.