GCD of 376, 480, 254, 730 Calculator

Given Input numbers are 376, 480, 254, 730

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

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

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 730

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

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

Greatest Common Divisior

We found the divisors of 376, 480, 254, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 480, 254, 730 is 2.

Therefore, GCD of numbers 376, 480, 254, 730 is 2

Given Input Data is 376, 480, 254, 730

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 730 is 2 x 5 x 73

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(376, 480) = 22560

GCD(376, 480) = ( 376 x 480 ) / 22560

GCD(376, 480) = 180480 / 22560

GCD(376, 480) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 254

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

LCM(8, 254) = 1016

GCD(8, 254) = ( 8 x 254 ) / 1016

GCD(8, 254) = 2032 / 1016

GCD(8, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 376, 480, 254, 730 is 2

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1. What is the GCD of 376, 480, 254, 730?

GCD of 376, 480, 254, 730 is 2

2. Where do I get the detailed procedure to find GCD of 376, 480, 254, 730?

You can find a detailed procedure to find GCD of 376, 480, 254, 730 on our page.

3. How to find GCD of 376, 480, 254, 730 on a calculator?

You can find the GCD of 376, 480, 254, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.