GCD of 254, 704, 57, 478 Calculator

Given Input numbers are 254, 704, 57, 478

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

Divisors of 254

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

1, 2, 127, 254

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 254, 704, 57, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 704, 57, 478 is 1.

Therefore, GCD of numbers 254, 704, 57, 478 is 1

Given Input Data is 254, 704, 57, 478

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 478 is 2 x 239

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(254, 704) = 89408

GCD(254, 704) = ( 254 x 704 ) / 89408

GCD(254, 704) = 178816 / 89408

GCD(254, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 254, 704, 57, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 352, 39, 721
• GCD of 885, 860, 55, 947
• GCD of 725, 691, 98, 167
• GCD of 504, 448, 44, 151
• GCD of 478, 398, 34, 635

1. What is the GCD of 254, 704, 57, 478?

GCD of 254, 704, 57, 478 is 1

2. Where do I get the detailed procedure to find GCD of 254, 704, 57, 478?

You can find a detailed procedure to find GCD of 254, 704, 57, 478 on our page.

3. How to find GCD of 254, 704, 57, 478 on a calculator?

You can find the GCD of 254, 704, 57, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.