GCD of 264, 546, 377, 251 Calculator

Given Input numbers are 264, 546, 377, 251

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

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 264, 546, 377, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 546, 377, 251 is 1.

Therefore, GCD of numbers 264, 546, 377, 251 is 1

Given Input Data is 264, 546, 377, 251

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

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 377 is 13 x 29

Prime Factorization of 251 is 251

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(264, 546) = 24024

GCD(264, 546) = ( 264 x 546 ) / 24024

GCD(264, 546) = 144144 / 24024

GCD(264, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 377

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

LCM(6, 377) = 2262

GCD(6, 377) = ( 6 x 377 ) / 2262

GCD(6, 377) = 2262 / 2262

GCD(6, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 264, 546, 377, 251 is 1

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1. What is the GCD of 264, 546, 377, 251?

GCD of 264, 546, 377, 251 is 1

2. Where do I get the detailed procedure to find GCD of 264, 546, 377, 251?

You can find a detailed procedure to find GCD of 264, 546, 377, 251 on our page.

3. How to find GCD of 264, 546, 377, 251 on a calculator?

You can find the GCD of 264, 546, 377, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.