GCD of 958, 448, 567, 309 Calculator

Given Input numbers are 958, 448, 567, 309

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 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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 958, 448, 567, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 448, 567, 309 is 1.

Therefore, GCD of numbers 958, 448, 567, 309 is 1

Given Input Data is 958, 448, 567, 309

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 309 is 3 x 103

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, 448) = 214592

GCD(958, 448) = ( 958 x 448 ) / 214592

GCD(958, 448) = 429184 / 214592

GCD(958, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 958, 448, 567, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 516, 830, 796
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• GCD of 978, 511, 512, 744

1. What is the GCD of 958, 448, 567, 309?

GCD of 958, 448, 567, 309 is 1

2. Where do I get the detailed procedure to find GCD of 958, 448, 567, 309?

You can find a detailed procedure to find GCD of 958, 448, 567, 309 on our page.

3. How to find GCD of 958, 448, 567, 309 on a calculator?

You can find the GCD of 958, 448, 567, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.