GCD of 786, 783, 960, 634 Calculator

Given Input numbers are 786, 783, 960, 634

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

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 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 786, 783, 960, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 783, 960, 634 is 1.

Therefore, GCD of numbers 786, 783, 960, 634 is 1

Given Input Data is 786, 783, 960, 634

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 783 is 3 x 3 x 3 x 29

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

Prime Factorization of 634 is 2 x 317

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(786, 783) = 205146

GCD(786, 783) = ( 786 x 783 ) / 205146

GCD(786, 783) = 615438 / 205146

GCD(786, 783) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 960

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

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

GCD(3, 960) = 2880 / 960

GCD(3, 960) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 634

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

LCM(3, 634) = 1902

GCD(3, 634) = ( 3 x 634 ) / 1902

GCD(3, 634) = 1902 / 1902

GCD(3, 634) = 1

GCD of 786, 783, 960, 634 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 410, 817, 679
• GCD of 979, 228, 174, 681
• GCD of 786, 994, 555, 519
• GCD of 357, 746, 799, 173
• GCD of 234, 154, 258, 912

1. What is the GCD of 786, 783, 960, 634?

GCD of 786, 783, 960, 634 is 1

2. Where do I get the detailed procedure to find GCD of 786, 783, 960, 634?

You can find a detailed procedure to find GCD of 786, 783, 960, 634 on our page.

3. How to find GCD of 786, 783, 960, 634 on a calculator?

You can find the GCD of 786, 783, 960, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.