GCD of 475, 475, 20, 280 Calculator

Given Input numbers are 475, 475, 20, 280

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 475, 475, 20, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 475, 20, 280 is 5.

Therefore, GCD of numbers 475, 475, 20, 280 is 5

Given Input Data is 475, 475, 20, 280

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(475, 475) = 475

GCD(475, 475) = ( 475 x 475 ) / 475

GCD(475, 475) = 225625 / 475

GCD(475, 475) = 475

Step2:

Here we consider the GCD from the above i.e. 475 as first number and the next as 20

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

LCM(475, 20) = 1900

GCD(475, 20) = ( 475 x 20 ) / 1900

GCD(475, 20) = 9500 / 1900

GCD(475, 20) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 280

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

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

GCD(5, 280) = 1400 / 280

GCD(5, 280) = 5

GCD of 475, 475, 20, 280 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 544, 66, 498
• GCD of 283, 843, 39, 760
• GCD of 278, 173, 55, 185
• GCD of 693, 639, 59, 901
• GCD of 269, 300, 21, 391

1. What is the GCD of 475, 475, 20, 280?

GCD of 475, 475, 20, 280 is 5

2. Where do I get the detailed procedure to find GCD of 475, 475, 20, 280?

You can find a detailed procedure to find GCD of 475, 475, 20, 280 on our page.

3. How to find GCD of 475, 475, 20, 280 on a calculator?

You can find the GCD of 475, 475, 20, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.