GCD of 528, 144, 419, 774 Calculator

Given Input numbers are 528, 144, 419, 774

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 528, 144, 419, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 144, 419, 774 is 1.

Therefore, GCD of numbers 528, 144, 419, 774 is 1

Given Input Data is 528, 144, 419, 774

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 419 is 419

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(528, 144) = 1584

GCD(528, 144) = ( 528 x 144 ) / 1584

GCD(528, 144) = 76032 / 1584

GCD(528, 144) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 419

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

LCM(48, 419) = 20112

GCD(48, 419) = ( 48 x 419 ) / 20112

GCD(48, 419) = 20112 / 20112

GCD(48, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 528, 144, 419, 774 is 1

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• GCD of 457, 956, 164, 113
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1. What is the GCD of 528, 144, 419, 774?

GCD of 528, 144, 419, 774 is 1

2. Where do I get the detailed procedure to find GCD of 528, 144, 419, 774?

You can find a detailed procedure to find GCD of 528, 144, 419, 774 on our page.

3. How to find GCD of 528, 144, 419, 774 on a calculator?

You can find the GCD of 528, 144, 419, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.