GCD of 464, 386, 21, 526 Calculator

Given Input numbers are 464, 386, 21, 526

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 464, 386, 21, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 386, 21, 526 is 1.

Therefore, GCD of numbers 464, 386, 21, 526 is 1

Given Input Data is 464, 386, 21, 526

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 386 is 2 x 193

Prime Factorization of 21 is 3 x 7

Prime Factorization of 526 is 2 x 263

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(464, 386) = 89552

GCD(464, 386) = ( 464 x 386 ) / 89552

GCD(464, 386) = 179104 / 89552

GCD(464, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 464, 386, 21, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 720, 56, 523
• GCD of 525, 971, 31, 861
• GCD of 288, 754, 42, 187
• GCD of 185, 302, 26, 693
• GCD of 831, 650, 14, 921

1. What is the GCD of 464, 386, 21, 526?

GCD of 464, 386, 21, 526 is 1

2. Where do I get the detailed procedure to find GCD of 464, 386, 21, 526?

You can find a detailed procedure to find GCD of 464, 386, 21, 526 on our page.

3. How to find GCD of 464, 386, 21, 526 on a calculator?

You can find the GCD of 464, 386, 21, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.