GCD of 644, 850, 126, 783 Calculator

Given Input numbers are 644, 850, 126, 783

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 783

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

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

Greatest Common Divisior

We found the divisors of 644, 850, 126, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 850, 126, 783 is 1.

Therefore, GCD of numbers 644, 850, 126, 783 is 1

Given Input Data is 644, 850, 126, 783

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 126 is 2 x 3 x 3 x 7

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

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(644, 850) = 273700

GCD(644, 850) = ( 644 x 850 ) / 273700

GCD(644, 850) = 547400 / 273700

GCD(644, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 783

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

LCM(2, 783) = 1566

GCD(2, 783) = ( 2 x 783 ) / 1566

GCD(2, 783) = 1566 / 1566

GCD(2, 783) = 1

GCD of 644, 850, 126, 783 is 1

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1. What is the GCD of 644, 850, 126, 783?

GCD of 644, 850, 126, 783 is 1

2. Where do I get the detailed procedure to find GCD of 644, 850, 126, 783?

You can find a detailed procedure to find GCD of 644, 850, 126, 783 on our page.

3. How to find GCD of 644, 850, 126, 783 on a calculator?

You can find the GCD of 644, 850, 126, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.