GCD of 117, 146, 552, 307 Calculator

Given Input numbers are 117, 146, 552, 307

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 117, 146, 552, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 146, 552, 307 is 1.

Therefore, GCD of numbers 117, 146, 552, 307 is 1

Given Input Data is 117, 146, 552, 307

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 146 is 2 x 73

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 307 is 307

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(117, 146) = 17082

GCD(117, 146) = ( 117 x 146 ) / 17082

GCD(117, 146) = 17082 / 17082

GCD(117, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 117, 146, 552, 307 is 1

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1. What is the GCD of 117, 146, 552, 307?

GCD of 117, 146, 552, 307 is 1

2. Where do I get the detailed procedure to find GCD of 117, 146, 552, 307?

You can find a detailed procedure to find GCD of 117, 146, 552, 307 on our page.

3. How to find GCD of 117, 146, 552, 307 on a calculator?

You can find the GCD of 117, 146, 552, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.