GCD of 16, 784, 376, 769 Calculator

Given Input numbers are 16, 784, 376, 769

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 16, 784, 376, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 784, 376, 769 is 1.

Therefore, GCD of numbers 16, 784, 376, 769 is 1

Given Input Data is 16, 784, 376, 769

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 769 is 769

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(16, 784) = 784

GCD(16, 784) = ( 16 x 784 ) / 784

GCD(16, 784) = 12544 / 784

GCD(16, 784) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 376

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

LCM(16, 376) = 752

GCD(16, 376) = ( 16 x 376 ) / 752

GCD(16, 376) = 6016 / 752

GCD(16, 376) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 769

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

LCM(8, 769) = 6152

GCD(8, 769) = ( 8 x 769 ) / 6152

GCD(8, 769) = 6152 / 6152

GCD(8, 769) = 1

GCD of 16, 784, 376, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 276, 267, 545
• GCD of 31, 270, 187, 369
• GCD of 94, 352, 997, 240
• GCD of 90, 280, 348, 883
• GCD of 90, 876, 867, 469

1. What is the GCD of 16, 784, 376, 769?

GCD of 16, 784, 376, 769 is 1

2. Where do I get the detailed procedure to find GCD of 16, 784, 376, 769?

You can find a detailed procedure to find GCD of 16, 784, 376, 769 on our page.

3. How to find GCD of 16, 784, 376, 769 on a calculator?

You can find the GCD of 16, 784, 376, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.