GCD of 84, 549, 526, 801 Calculator

Given Input numbers are 84, 549, 526, 801

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 526

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

1, 2, 263, 526

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Greatest Common Divisior

We found the divisors of 84, 549, 526, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 549, 526, 801 is 1.

Therefore, GCD of numbers 84, 549, 526, 801 is 1

Given Input Data is 84, 549, 526, 801

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 526 is 2 x 263

Prime Factorization of 801 is 3 x 3 x 89

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(84, 549) = 15372

GCD(84, 549) = ( 84 x 549 ) / 15372

GCD(84, 549) = 46116 / 15372

GCD(84, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 526

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

LCM(3, 526) = 1578

GCD(3, 526) = ( 3 x 526 ) / 1578

GCD(3, 526) = 1578 / 1578

GCD(3, 526) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1

GCD of 84, 549, 526, 801 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 901, 987, 293
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• GCD of 32, 805, 307, 198
• GCD of 46, 563, 805, 311
• GCD of 40, 888, 891, 290

1. What is the GCD of 84, 549, 526, 801?

GCD of 84, 549, 526, 801 is 1

2. Where do I get the detailed procedure to find GCD of 84, 549, 526, 801?

You can find a detailed procedure to find GCD of 84, 549, 526, 801 on our page.

3. How to find GCD of 84, 549, 526, 801 on a calculator?

You can find the GCD of 84, 549, 526, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.