GCD of 754, 804, 68, 672 Calculator

Given Input numbers are 754, 804, 68, 672

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 754, 804, 68, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 804, 68, 672 is 2.

Therefore, GCD of numbers 754, 804, 68, 672 is 2

Given Input Data is 754, 804, 68, 672

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 804 is 2 x 2 x 3 x 67

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 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, 804) = 303108

GCD(754, 804) = ( 754 x 804 ) / 303108

GCD(754, 804) = 606216 / 303108

GCD(754, 804) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 672

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

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

GCD(2, 672) = 1344 / 672

GCD(2, 672) = 2

GCD of 754, 804, 68, 672 is 2

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1. What is the GCD of 754, 804, 68, 672?

GCD of 754, 804, 68, 672 is 2

2. Where do I get the detailed procedure to find GCD of 754, 804, 68, 672?

You can find a detailed procedure to find GCD of 754, 804, 68, 672 on our page.

3. How to find GCD of 754, 804, 68, 672 on a calculator?

You can find the GCD of 754, 804, 68, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.