GCD of 765, 960, 316, 750 Calculator

Given Input numbers are 765, 960, 316, 750

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 765, 960, 316, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 960, 316, 750 is 1.

Therefore, GCD of numbers 765, 960, 316, 750 is 1

Given Input Data is 765, 960, 316, 750

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

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(765, 960) = 48960

GCD(765, 960) = ( 765 x 960 ) / 48960

GCD(765, 960) = 734400 / 48960

GCD(765, 960) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 316

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

LCM(15, 316) = 4740

GCD(15, 316) = ( 15 x 316 ) / 4740

GCD(15, 316) = 4740 / 4740

GCD(15, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 765, 960, 316, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 115, 167, 511
• GCD of 799, 839, 620, 448
• GCD of 552, 566, 234, 188
• GCD of 827, 295, 802, 126
• GCD of 960, 603, 762, 386

1. What is the GCD of 765, 960, 316, 750?

GCD of 765, 960, 316, 750 is 1

2. Where do I get the detailed procedure to find GCD of 765, 960, 316, 750?

You can find a detailed procedure to find GCD of 765, 960, 316, 750 on our page.

3. How to find GCD of 765, 960, 316, 750 on a calculator?

You can find the GCD of 765, 960, 316, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.