GCD of 142, 704, 891, 353 Calculator

Given Input numbers are 142, 704, 891, 353

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 142, 704, 891, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 704, 891, 353 is 1.

Therefore, GCD of numbers 142, 704, 891, 353 is 1

Given Input Data is 142, 704, 891, 353

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 353 is 353

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(142, 704) = 49984

GCD(142, 704) = ( 142 x 704 ) / 49984

GCD(142, 704) = 99968 / 49984

GCD(142, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 142, 704, 891, 353 is 1

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1. What is the GCD of 142, 704, 891, 353?

GCD of 142, 704, 891, 353 is 1

2. Where do I get the detailed procedure to find GCD of 142, 704, 891, 353?

You can find a detailed procedure to find GCD of 142, 704, 891, 353 on our page.

3. How to find GCD of 142, 704, 891, 353 on a calculator?

You can find the GCD of 142, 704, 891, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.