GCD of 86, 772, 380, 533 Calculator

Given Input numbers are 86, 772, 380, 533

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 86, 772, 380, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 772, 380, 533 is 1.

Therefore, GCD of numbers 86, 772, 380, 533 is 1

Given Input Data is 86, 772, 380, 533

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 533 is 13 x 41

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(86, 772) = 33196

GCD(86, 772) = ( 86 x 772 ) / 33196

GCD(86, 772) = 66392 / 33196

GCD(86, 772) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

GCD of 86, 772, 380, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 172, 785, 839
• GCD of 60, 181, 900, 580
• GCD of 22, 607, 532, 734
• GCD of 88, 726, 680, 447
• GCD of 81, 922, 394, 392

1. What is the GCD of 86, 772, 380, 533?

GCD of 86, 772, 380, 533 is 1

2. Where do I get the detailed procedure to find GCD of 86, 772, 380, 533?

You can find a detailed procedure to find GCD of 86, 772, 380, 533 on our page.

3. How to find GCD of 86, 772, 380, 533 on a calculator?

You can find the GCD of 86, 772, 380, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.