GCD of 10, 642, 780, 772 Calculator

Given Input numbers are 10, 642, 780, 772

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 10, 642, 780, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 642, 780, 772 is 2.

Therefore, GCD of numbers 10, 642, 780, 772 is 2

Given Input Data is 10, 642, 780, 772

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 642 is 2 x 3 x 107

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

Prime Factorization of 772 is 2 x 2 x 193

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(10, 642) = 3210

GCD(10, 642) = ( 10 x 642 ) / 3210

GCD(10, 642) = 6420 / 3210

GCD(10, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

GCD of 10, 642, 780, 772 is 2

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1. What is the GCD of 10, 642, 780, 772?

GCD of 10, 642, 780, 772 is 2

2. Where do I get the detailed procedure to find GCD of 10, 642, 780, 772?

You can find a detailed procedure to find GCD of 10, 642, 780, 772 on our page.

3. How to find GCD of 10, 642, 780, 772 on a calculator?

You can find the GCD of 10, 642, 780, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.