GCD of 126, 752, 45, 528 Calculator

Given Input numbers are 126, 752, 45, 528

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

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 126, 752, 45, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 752, 45, 528 is 1.

Therefore, GCD of numbers 126, 752, 45, 528 is 1

Given Input Data is 126, 752, 45, 528

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

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(126, 752) = 47376

GCD(126, 752) = ( 126 x 752 ) / 47376

GCD(126, 752) = 94752 / 47376

GCD(126, 752) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 126, 752, 45, 528 is 1

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1. What is the GCD of 126, 752, 45, 528?

GCD of 126, 752, 45, 528 is 1

2. Where do I get the detailed procedure to find GCD of 126, 752, 45, 528?

You can find a detailed procedure to find GCD of 126, 752, 45, 528 on our page.

3. How to find GCD of 126, 752, 45, 528 on a calculator?

You can find the GCD of 126, 752, 45, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.