GCD of 524, 704, 96, 771 Calculator

Given Input numbers are 524, 704, 96, 771

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 524, 704, 96, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 704, 96, 771 is 1.

Therefore, GCD of numbers 524, 704, 96, 771 is 1

Given Input Data is 524, 704, 96, 771

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 771 is 3 x 257

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(524, 704) = 92224

GCD(524, 704) = ( 524 x 704 ) / 92224

GCD(524, 704) = 368896 / 92224

GCD(524, 704) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 771

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

LCM(4, 771) = 3084

GCD(4, 771) = ( 4 x 771 ) / 3084

GCD(4, 771) = 3084 / 3084

GCD(4, 771) = 1

GCD of 524, 704, 96, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 707, 69, 767
• GCD of 411, 971, 47, 515
• GCD of 306, 526, 10, 185
• GCD of 245, 784, 71, 127
• GCD of 319, 785, 17, 416

1. What is the GCD of 524, 704, 96, 771?

GCD of 524, 704, 96, 771 is 1

2. Where do I get the detailed procedure to find GCD of 524, 704, 96, 771?

You can find a detailed procedure to find GCD of 524, 704, 96, 771 on our page.

3. How to find GCD of 524, 704, 96, 771 on a calculator?

You can find the GCD of 524, 704, 96, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.