GCD of 30, 658, 251, 960 Calculator

Given Input numbers are 30, 658, 251, 960

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 30, 658, 251, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 658, 251, 960 is 1.

Therefore, GCD of numbers 30, 658, 251, 960 is 1

Given Input Data is 30, 658, 251, 960

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 251 is 251

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(30, 658) = 9870

GCD(30, 658) = ( 30 x 658 ) / 9870

GCD(30, 658) = 19740 / 9870

GCD(30, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 30, 658, 251, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 825, 703, 546
• GCD of 79, 286, 156, 729
• GCD of 63, 501, 186, 249
• GCD of 29, 427, 551, 868
• GCD of 30, 282, 854, 644

1. What is the GCD of 30, 658, 251, 960?

GCD of 30, 658, 251, 960 is 1

2. Where do I get the detailed procedure to find GCD of 30, 658, 251, 960?

You can find a detailed procedure to find GCD of 30, 658, 251, 960 on our page.

3. How to find GCD of 30, 658, 251, 960 on a calculator?

You can find the GCD of 30, 658, 251, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.