GCD of 772, 384, 87, 437 Calculator

Given Input numbers are 772, 384, 87, 437

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 772, 384, 87, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 384, 87, 437 is 1.

Therefore, GCD of numbers 772, 384, 87, 437 is 1

Given Input Data is 772, 384, 87, 437

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 87 is 3 x 29

Prime Factorization of 437 is 19 x 23

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(772, 384) = 74112

GCD(772, 384) = ( 772 x 384 ) / 74112

GCD(772, 384) = 296448 / 74112

GCD(772, 384) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 772, 384, 87, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 681, 69, 123
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• GCD of 319, 776, 96, 865
• GCD of 346, 531, 22, 424
• GCD of 858, 489, 23, 703

1. What is the GCD of 772, 384, 87, 437?

GCD of 772, 384, 87, 437 is 1

2. Where do I get the detailed procedure to find GCD of 772, 384, 87, 437?

You can find a detailed procedure to find GCD of 772, 384, 87, 437 on our page.

3. How to find GCD of 772, 384, 87, 437 on a calculator?

You can find the GCD of 772, 384, 87, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.