GCD of 87, 768, 764, 448 Calculator

Given Input numbers are 87, 768, 764, 448

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

Divisors of 87

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

1, 3, 29, 87

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 87, 768, 764, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 768, 764, 448 is 1.

Therefore, GCD of numbers 87, 768, 764, 448 is 1

Given Input Data is 87, 768, 764, 448

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(87, 768) = 22272

GCD(87, 768) = ( 87 x 768 ) / 22272

GCD(87, 768) = 66816 / 22272

GCD(87, 768) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 764

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

LCM(3, 764) = 2292

GCD(3, 764) = ( 3 x 764 ) / 2292

GCD(3, 764) = 2292 / 2292

GCD(3, 764) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 87, 768, 764, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 560, 615, 430
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• GCD of 97, 134, 736, 433

1. What is the GCD of 87, 768, 764, 448?

GCD of 87, 768, 764, 448 is 1

2. Where do I get the detailed procedure to find GCD of 87, 768, 764, 448?

You can find a detailed procedure to find GCD of 87, 768, 764, 448 on our page.

3. How to find GCD of 87, 768, 764, 448 on a calculator?

You can find the GCD of 87, 768, 764, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.