GCD of 20, 826, 480, 151 Calculator

Given Input numbers are 20, 826, 480, 151

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 20, 826, 480, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 826, 480, 151 is 1.

Therefore, GCD of numbers 20, 826, 480, 151 is 1

Given Input Data is 20, 826, 480, 151

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 151 is 151

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(20, 826) = 8260

GCD(20, 826) = ( 20 x 826 ) / 8260

GCD(20, 826) = 16520 / 8260

GCD(20, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 151

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

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

GCD(2, 151) = 302 / 302

GCD(2, 151) = 1

GCD of 20, 826, 480, 151 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 899, 688, 848
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1. What is the GCD of 20, 826, 480, 151?

GCD of 20, 826, 480, 151 is 1

2. Where do I get the detailed procedure to find GCD of 20, 826, 480, 151?

You can find a detailed procedure to find GCD of 20, 826, 480, 151 on our page.

3. How to find GCD of 20, 826, 480, 151 on a calculator?

You can find the GCD of 20, 826, 480, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.