GCD of 785, 360, 759, 765 Calculator

Given Input numbers are 785, 360, 759, 765

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 759

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

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 785, 360, 759, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 360, 759, 765 is 1.

Therefore, GCD of numbers 785, 360, 759, 765 is 1

Given Input Data is 785, 360, 759, 765

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(785, 360) = 56520

GCD(785, 360) = ( 785 x 360 ) / 56520

GCD(785, 360) = 282600 / 56520

GCD(785, 360) = 5

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 785, 360, 759, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 987, 325, 747
• GCD of 498, 390, 227, 315
• GCD of 490, 825, 384, 613
• GCD of 509, 665, 447, 176
• GCD of 959, 715, 322, 608

1. What is the GCD of 785, 360, 759, 765?

GCD of 785, 360, 759, 765 is 1

2. Where do I get the detailed procedure to find GCD of 785, 360, 759, 765?

You can find a detailed procedure to find GCD of 785, 360, 759, 765 on our page.

3. How to find GCD of 785, 360, 759, 765 on a calculator?

You can find the GCD of 785, 360, 759, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.