GCD of 285, 760, 280, 759 Calculator

Given Input numbers are 285, 760, 280, 759

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 285, 760, 280, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 760, 280, 759 is 1.

Therefore, GCD of numbers 285, 760, 280, 759 is 1

Given Input Data is 285, 760, 280, 759

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Prime Factorization of 759 is 3 x 11 x 23

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(285, 760) = 2280

GCD(285, 760) = ( 285 x 760 ) / 2280

GCD(285, 760) = 216600 / 2280

GCD(285, 760) = 95

Step2:

Here we consider the GCD from the above i.e. 95 as first number and the next as 280

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

LCM(95, 280) = 5320

GCD(95, 280) = ( 95 x 280 ) / 5320

GCD(95, 280) = 26600 / 5320

GCD(95, 280) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 759

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

LCM(5, 759) = 3795

GCD(5, 759) = ( 5 x 759 ) / 3795

GCD(5, 759) = 3795 / 3795

GCD(5, 759) = 1

GCD of 285, 760, 280, 759 is 1

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1. What is the GCD of 285, 760, 280, 759?

GCD of 285, 760, 280, 759 is 1

2. Where do I get the detailed procedure to find GCD of 285, 760, 280, 759?

You can find a detailed procedure to find GCD of 285, 760, 280, 759 on our page.

3. How to find GCD of 285, 760, 280, 759 on a calculator?

You can find the GCD of 285, 760, 280, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.