GCD of 958, 922, 899, 704 Calculator

Given Input numbers are 958, 922, 899, 704

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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

Greatest Common Divisior

We found the divisors of 958, 922, 899, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 922, 899, 704 is 1.

Therefore, GCD of numbers 958, 922, 899, 704 is 1

Given Input Data is 958, 922, 899, 704

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 922 is 2 x 461

Prime Factorization of 899 is 29 x 31

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

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(958, 922) = 441638

GCD(958, 922) = ( 958 x 922 ) / 441638

GCD(958, 922) = 883276 / 441638

GCD(958, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 958, 922, 899, 704 is 1

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1. What is the GCD of 958, 922, 899, 704?

GCD of 958, 922, 899, 704 is 1

2. Where do I get the detailed procedure to find GCD of 958, 922, 899, 704?

You can find a detailed procedure to find GCD of 958, 922, 899, 704 on our page.

3. How to find GCD of 958, 922, 899, 704 on a calculator?

You can find the GCD of 958, 922, 899, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.