GCD of 783, 715, 689, 964 Calculator

Given Input numbers are 783, 715, 689, 964

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

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 783, 715, 689, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 715, 689, 964 is 1.

Therefore, GCD of numbers 783, 715, 689, 964 is 1

Given Input Data is 783, 715, 689, 964

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

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 689 is 13 x 53

Prime Factorization of 964 is 2 x 2 x 241

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(783, 715) = 559845

GCD(783, 715) = ( 783 x 715 ) / 559845

GCD(783, 715) = 559845 / 559845

GCD(783, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 783, 715, 689, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 830, 540, 108
• GCD of 664, 635, 690, 380
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• GCD of 107, 584, 914, 841
• GCD of 205, 366, 497, 195

1. What is the GCD of 783, 715, 689, 964?

GCD of 783, 715, 689, 964 is 1

2. Where do I get the detailed procedure to find GCD of 783, 715, 689, 964?

You can find a detailed procedure to find GCD of 783, 715, 689, 964 on our page.

3. How to find GCD of 783, 715, 689, 964 on a calculator?

You can find the GCD of 783, 715, 689, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.