GCD of 305, 647, 10, 958 Calculator

Given Input numbers are 305, 647, 10, 958

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 958

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

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 305, 647, 10, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 647, 10, 958 is 1.

Therefore, GCD of numbers 305, 647, 10, 958 is 1

Given Input Data is 305, 647, 10, 958

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 647 is 647

Prime Factorization of 10 is 2 x 5

Prime Factorization of 958 is 2 x 479

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(305, 647) = 197335

GCD(305, 647) = ( 305 x 647 ) / 197335

GCD(305, 647) = 197335 / 197335

GCD(305, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 305, 647, 10, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 735, 47, 113
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• GCD of 137, 655, 76, 131

1. What is the GCD of 305, 647, 10, 958?

GCD of 305, 647, 10, 958 is 1

2. Where do I get the detailed procedure to find GCD of 305, 647, 10, 958?

You can find a detailed procedure to find GCD of 305, 647, 10, 958 on our page.

3. How to find GCD of 305, 647, 10, 958 on a calculator?

You can find the GCD of 305, 647, 10, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.