GCD of 77, 129, 355, 448 Calculator

Given Input numbers are 77, 129, 355, 448

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 77, 129, 355, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 129, 355, 448 is 1.

Therefore, GCD of numbers 77, 129, 355, 448 is 1

Given Input Data is 77, 129, 355, 448

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 129 is 3 x 43

Prime Factorization of 355 is 5 x 71

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(77, 129) = 9933

GCD(77, 129) = ( 77 x 129 ) / 9933

GCD(77, 129) = 9933 / 9933

GCD(77, 129) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 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 77, 129, 355, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 915, 734, 479
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• GCD of 39, 140, 127, 314

1. What is the GCD of 77, 129, 355, 448?

GCD of 77, 129, 355, 448 is 1

2. Where do I get the detailed procedure to find GCD of 77, 129, 355, 448?

You can find a detailed procedure to find GCD of 77, 129, 355, 448 on our page.

3. How to find GCD of 77, 129, 355, 448 on a calculator?

You can find the GCD of 77, 129, 355, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.