GCD of 695, 515, 280, 475 Calculator

Given Input numbers are 695, 515, 280, 475

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

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

Divisors of 475

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

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 695, 515, 280, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 515, 280, 475 is 5.

Therefore, GCD of numbers 695, 515, 280, 475 is 5

Given Input Data is 695, 515, 280, 475

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 515 is 5 x 103

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

Prime Factorization of 475 is 5 x 5 x 19

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(695, 515) = 71585

GCD(695, 515) = ( 695 x 515 ) / 71585

GCD(695, 515) = 357925 / 71585

GCD(695, 515) = 5

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 475

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

LCM(5, 475) = 475

GCD(5, 475) = ( 5 x 475 ) / 475

GCD(5, 475) = 2375 / 475

GCD(5, 475) = 5

GCD of 695, 515, 280, 475 is 5

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1. What is the GCD of 695, 515, 280, 475?

GCD of 695, 515, 280, 475 is 5

2. Where do I get the detailed procedure to find GCD of 695, 515, 280, 475?

You can find a detailed procedure to find GCD of 695, 515, 280, 475 on our page.

3. How to find GCD of 695, 515, 280, 475 on a calculator?

You can find the GCD of 695, 515, 280, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.