GCD of 147, 538, 99, 676 Calculator

Given Input numbers are 147, 538, 99, 676

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 147, 538, 99, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 538, 99, 676 is 1.

Therefore, GCD of numbers 147, 538, 99, 676 is 1

Given Input Data is 147, 538, 99, 676

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 538 is 2 x 269

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(147, 538) = 79086

GCD(147, 538) = ( 147 x 538 ) / 79086

GCD(147, 538) = 79086 / 79086

GCD(147, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 147, 538, 99, 676 is 1

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1. What is the GCD of 147, 538, 99, 676?

GCD of 147, 538, 99, 676 is 1

2. Where do I get the detailed procedure to find GCD of 147, 538, 99, 676?

You can find a detailed procedure to find GCD of 147, 538, 99, 676 on our page.

3. How to find GCD of 147, 538, 99, 676 on a calculator?

You can find the GCD of 147, 538, 99, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.