GCD of 904, 762, 74, 480 Calculator

Given Input numbers are 904, 762, 74, 480

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 904, 762, 74, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 762, 74, 480 is 2.

Therefore, GCD of numbers 904, 762, 74, 480 is 2

Given Input Data is 904, 762, 74, 480

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 74 is 2 x 37

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(904, 762) = 344424

GCD(904, 762) = ( 904 x 762 ) / 344424

GCD(904, 762) = 688848 / 344424

GCD(904, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 904, 762, 74, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 788, 75, 774
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• GCD of 170, 449, 47, 344

1. What is the GCD of 904, 762, 74, 480?

GCD of 904, 762, 74, 480 is 2

2. Where do I get the detailed procedure to find GCD of 904, 762, 74, 480?

You can find a detailed procedure to find GCD of 904, 762, 74, 480 on our page.

3. How to find GCD of 904, 762, 74, 480 on a calculator?

You can find the GCD of 904, 762, 74, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.