GCD of 64, 408, 365, 254 Calculator

Given Input numbers are 64, 408, 365, 254

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 64, 408, 365, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 408, 365, 254 is 1.

Therefore, GCD of numbers 64, 408, 365, 254 is 1

Given Input Data is 64, 408, 365, 254

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 365 is 5 x 73

Prime Factorization of 254 is 2 x 127

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(64, 408) = 3264

GCD(64, 408) = ( 64 x 408 ) / 3264

GCD(64, 408) = 26112 / 3264

GCD(64, 408) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 365

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

LCM(8, 365) = 2920

GCD(8, 365) = ( 8 x 365 ) / 2920

GCD(8, 365) = 2920 / 2920

GCD(8, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 64, 408, 365, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 283, 846, 759
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• GCD of 70, 263, 714, 877
• GCD of 12, 517, 447, 193

1. What is the GCD of 64, 408, 365, 254?

GCD of 64, 408, 365, 254 is 1

2. Where do I get the detailed procedure to find GCD of 64, 408, 365, 254?

You can find a detailed procedure to find GCD of 64, 408, 365, 254 on our page.

3. How to find GCD of 64, 408, 365, 254 on a calculator?

You can find the GCD of 64, 408, 365, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.