GCD of 784, 669, 156, 898 Calculator

Given Input numbers are 784, 669, 156, 898

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

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 784, 669, 156, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 669, 156, 898 is 1.

Therefore, GCD of numbers 784, 669, 156, 898 is 1

Given Input Data is 784, 669, 156, 898

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

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 898 is 2 x 449

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(784, 669) = 524496

GCD(784, 669) = ( 784 x 669 ) / 524496

GCD(784, 669) = 524496 / 524496

GCD(784, 669) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 784, 669, 156, 898 is 1

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1. What is the GCD of 784, 669, 156, 898?

GCD of 784, 669, 156, 898 is 1

2. Where do I get the detailed procedure to find GCD of 784, 669, 156, 898?

You can find a detailed procedure to find GCD of 784, 669, 156, 898 on our page.

3. How to find GCD of 784, 669, 156, 898 on a calculator?

You can find the GCD of 784, 669, 156, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.