GCD of 754, 126, 504 Calculator

Given Input numbers are 754, 126, 504

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

Greatest Common Divisior

We found the divisors of 754, 126, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 126, 504 is 2.

Therefore, GCD of numbers 754, 126, 504 is 2

Given Input Data is 754, 126, 504

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 126 is 2 x 3 x 3 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(754, 126) = 47502

GCD(754, 126) = ( 754 x 126 ) / 47502

GCD(754, 126) = 95004 / 47502

GCD(754, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 754, 126, 504 is 2

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1. What is the GCD of 754, 126, 504?

GCD of 754, 126, 504 is 2

2. Where do I get the detailed procedure to find GCD of 754, 126, 504?

You can find a detailed procedure to find GCD of 754, 126, 504 on our page.

3. How to find GCD of 754, 126, 504 on a calculator?

You can find the GCD of 754, 126, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.