GCD of 114, 475, 72, 264 Calculator

Given Input numbers are 114, 475, 72, 264

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 114, 475, 72, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 475, 72, 264 is 1.

Therefore, GCD of numbers 114, 475, 72, 264 is 1

Given Input Data is 114, 475, 72, 264

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(114, 475) = 2850

GCD(114, 475) = ( 114 x 475 ) / 2850

GCD(114, 475) = 54150 / 2850

GCD(114, 475) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 72

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

LCM(19, 72) = 1368

GCD(19, 72) = ( 19 x 72 ) / 1368

GCD(19, 72) = 1368 / 1368

GCD(19, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 114, 475, 72, 264 is 1

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• GCD of 988, 388, 78, 397
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• GCD of 134, 425, 50, 839

1. What is the GCD of 114, 475, 72, 264?

GCD of 114, 475, 72, 264 is 1

2. Where do I get the detailed procedure to find GCD of 114, 475, 72, 264?

You can find a detailed procedure to find GCD of 114, 475, 72, 264 on our page.

3. How to find GCD of 114, 475, 72, 264 on a calculator?

You can find the GCD of 114, 475, 72, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.