GCD of 480, 373, 49, 457 Calculator

Given Input numbers are 480, 373, 49, 457

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

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 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 480, 373, 49, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 373, 49, 457 is 1.

Therefore, GCD of numbers 480, 373, 49, 457 is 1

Given Input Data is 480, 373, 49, 457

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

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

Prime Factorization of 373 is 373

Prime Factorization of 49 is 7 x 7

Prime Factorization of 457 is 457

The above numbers do not have any common prime factor. So GCD is 1

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(480, 373) = 179040

GCD(480, 373) = ( 480 x 373 ) / 179040

GCD(480, 373) = 179040 / 179040

GCD(480, 373) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 480, 373, 49, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 717, 52, 504
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• GCD of 328, 435, 80, 602
• GCD of 318, 257, 35, 125
• GCD of 243, 563, 60, 269

1. What is the GCD of 480, 373, 49, 457?

GCD of 480, 373, 49, 457 is 1

2. Where do I get the detailed procedure to find GCD of 480, 373, 49, 457?

You can find a detailed procedure to find GCD of 480, 373, 49, 457 on our page.

3. How to find GCD of 480, 373, 49, 457 on a calculator?

You can find the GCD of 480, 373, 49, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.