GCD of 54, 518, 736, 425 Calculator

Given Input numbers are 54, 518, 736, 425

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 54, 518, 736, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 518, 736, 425 is 1.

Therefore, GCD of numbers 54, 518, 736, 425 is 1

Given Input Data is 54, 518, 736, 425

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 425 is 5 x 5 x 17

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(54, 518) = 13986

GCD(54, 518) = ( 54 x 518 ) / 13986

GCD(54, 518) = 27972 / 13986

GCD(54, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 1

GCD of 54, 518, 736, 425 is 1

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1. What is the GCD of 54, 518, 736, 425?

GCD of 54, 518, 736, 425 is 1

2. Where do I get the detailed procedure to find GCD of 54, 518, 736, 425?

You can find a detailed procedure to find GCD of 54, 518, 736, 425 on our page.

3. How to find GCD of 54, 518, 736, 425 on a calculator?

You can find the GCD of 54, 518, 736, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.