GCD of 807, 147, 484, 172 Calculator

Given Input numbers are 807, 147, 484, 172

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 807, 147, 484, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 147, 484, 172 is 1.

Therefore, GCD of numbers 807, 147, 484, 172 is 1

Given Input Data is 807, 147, 484, 172

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 172 is 2 x 2 x 43

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(807, 147) = 39543

GCD(807, 147) = ( 807 x 147 ) / 39543

GCD(807, 147) = 118629 / 39543

GCD(807, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 484

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

LCM(3, 484) = 1452

GCD(3, 484) = ( 3 x 484 ) / 1452

GCD(3, 484) = 1452 / 1452

GCD(3, 484) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 807, 147, 484, 172 is 1

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1. What is the GCD of 807, 147, 484, 172?

GCD of 807, 147, 484, 172 is 1

2. Where do I get the detailed procedure to find GCD of 807, 147, 484, 172?

You can find a detailed procedure to find GCD of 807, 147, 484, 172 on our page.

3. How to find GCD of 807, 147, 484, 172 on a calculator?

You can find the GCD of 807, 147, 484, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.