GCD of 752, 554, 756 Calculator

Given Input numbers are 752, 554, 756

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

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 752, 554, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 554, 756 is 2.

Therefore, GCD of numbers 752, 554, 756 is 2

Given Input Data is 752, 554, 756

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

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 756 is 2 x 2 x 3 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(752, 554) = 208304

GCD(752, 554) = ( 752 x 554 ) / 208304

GCD(752, 554) = 416608 / 208304

GCD(752, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 752, 554, 756 is 2

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• GCD of 135, 846, 740
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• GCD of 756, 353, 736

1. What is the GCD of 752, 554, 756?

GCD of 752, 554, 756 is 2

2. Where do I get the detailed procedure to find GCD of 752, 554, 756?

You can find a detailed procedure to find GCD of 752, 554, 756 on our page.

3. How to find GCD of 752, 554, 756 on a calculator?

You can find the GCD of 752, 554, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.