GCD of 504, 632, 54, 145 Calculator

Given Input numbers are 504, 632, 54, 145

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 504, 632, 54, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 632, 54, 145 is 1.

Therefore, GCD of numbers 504, 632, 54, 145 is 1

Given Input Data is 504, 632, 54, 145

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 632 is 2 x 2 x 2 x 79

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

Prime Factorization of 145 is 5 x 29

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(504, 632) = 39816

GCD(504, 632) = ( 504 x 632 ) / 39816

GCD(504, 632) = 318528 / 39816

GCD(504, 632) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 54

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

LCM(8, 54) = 216

GCD(8, 54) = ( 8 x 54 ) / 216

GCD(8, 54) = 432 / 216

GCD(8, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

GCD of 504, 632, 54, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 270, 40, 386
• GCD of 204, 740, 84, 199
• GCD of 642, 113, 29, 391
• GCD of 853, 293, 55, 654
• GCD of 909, 302, 70, 941

1. What is the GCD of 504, 632, 54, 145?

GCD of 504, 632, 54, 145 is 1

2. Where do I get the detailed procedure to find GCD of 504, 632, 54, 145?

You can find a detailed procedure to find GCD of 504, 632, 54, 145 on our page.

3. How to find GCD of 504, 632, 54, 145 on a calculator?

You can find the GCD of 504, 632, 54, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.