GCD of 780, 495, 642, 696 Calculator

Given Input numbers are 780, 495, 642, 696

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 780, 495, 642, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 495, 642, 696 is 3.

Therefore, GCD of numbers 780, 495, 642, 696 is 3

Given Input Data is 780, 495, 642, 696

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(780, 495) = 25740

GCD(780, 495) = ( 780 x 495 ) / 25740

GCD(780, 495) = 386100 / 25740

GCD(780, 495) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 642

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

LCM(15, 642) = 3210

GCD(15, 642) = ( 15 x 642 ) / 3210

GCD(15, 642) = 9630 / 3210

GCD(15, 642) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

GCD of 780, 495, 642, 696 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 284, 964, 237
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1. What is the GCD of 780, 495, 642, 696?

GCD of 780, 495, 642, 696 is 3

2. Where do I get the detailed procedure to find GCD of 780, 495, 642, 696?

You can find a detailed procedure to find GCD of 780, 495, 642, 696 on our page.

3. How to find GCD of 780, 495, 642, 696 on a calculator?

You can find the GCD of 780, 495, 642, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.