GCD of 505, 672, 296, 294 Calculator

Given Input numbers are 505, 672, 296, 294

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 505, 672, 296, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 672, 296, 294 is 1.

Therefore, GCD of numbers 505, 672, 296, 294 is 1

Given Input Data is 505, 672, 296, 294

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(505, 672) = 339360

GCD(505, 672) = ( 505 x 672 ) / 339360

GCD(505, 672) = 339360 / 339360

GCD(505, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 505, 672, 296, 294 is 1

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1. What is the GCD of 505, 672, 296, 294?

GCD of 505, 672, 296, 294 is 1

2. Where do I get the detailed procedure to find GCD of 505, 672, 296, 294?

You can find a detailed procedure to find GCD of 505, 672, 296, 294 on our page.

3. How to find GCD of 505, 672, 296, 294 on a calculator?

You can find the GCD of 505, 672, 296, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.