GCD of 50, 528, 825, 695 Calculator

Given Input numbers are 50, 528, 825, 695

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 695

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

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 50, 528, 825, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 528, 825, 695 is 1.

Therefore, GCD of numbers 50, 528, 825, 695 is 1

Given Input Data is 50, 528, 825, 695

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 695 is 5 x 139

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(50, 528) = 13200

GCD(50, 528) = ( 50 x 528 ) / 13200

GCD(50, 528) = 26400 / 13200

GCD(50, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 50, 528, 825, 695 is 1

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1. What is the GCD of 50, 528, 825, 695?

GCD of 50, 528, 825, 695 is 1

2. Where do I get the detailed procedure to find GCD of 50, 528, 825, 695?

You can find a detailed procedure to find GCD of 50, 528, 825, 695 on our page.

3. How to find GCD of 50, 528, 825, 695 on a calculator?

You can find the GCD of 50, 528, 825, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.