GCD of 766, 730, 804, 954 Calculator

Given Input numbers are 766, 730, 804, 954

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 766, 730, 804, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 730, 804, 954 is 2.

Therefore, GCD of numbers 766, 730, 804, 954 is 2

Given Input Data is 766, 730, 804, 954

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(766, 730) = 279590

GCD(766, 730) = ( 766 x 730 ) / 279590

GCD(766, 730) = 559180 / 279590

GCD(766, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 766, 730, 804, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 102, 382, 560
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• GCD of 618, 585, 593, 215

1. What is the GCD of 766, 730, 804, 954?

GCD of 766, 730, 804, 954 is 2

2. Where do I get the detailed procedure to find GCD of 766, 730, 804, 954?

You can find a detailed procedure to find GCD of 766, 730, 804, 954 on our page.

3. How to find GCD of 766, 730, 804, 954 on a calculator?

You can find the GCD of 766, 730, 804, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.