GCD of 660, 775, 850, 919 Calculator

Given Input numbers are 660, 775, 850, 919

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

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 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 660, 775, 850, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 775, 850, 919 is 1.

Therefore, GCD of numbers 660, 775, 850, 919 is 1

Given Input Data is 660, 775, 850, 919

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 775 is 5 x 5 x 31

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

Prime Factorization of 919 is 919

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(660, 775) = 102300

GCD(660, 775) = ( 660 x 775 ) / 102300

GCD(660, 775) = 511500 / 102300

GCD(660, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 850

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

LCM(5, 850) = 850

GCD(5, 850) = ( 5 x 850 ) / 850

GCD(5, 850) = 4250 / 850

GCD(5, 850) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 919

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

LCM(5, 919) = 4595

GCD(5, 919) = ( 5 x 919 ) / 4595

GCD(5, 919) = 4595 / 4595

GCD(5, 919) = 1

GCD of 660, 775, 850, 919 is 1

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1. What is the GCD of 660, 775, 850, 919?

GCD of 660, 775, 850, 919 is 1

2. Where do I get the detailed procedure to find GCD of 660, 775, 850, 919?

You can find a detailed procedure to find GCD of 660, 775, 850, 919 on our page.

3. How to find GCD of 660, 775, 850, 919 on a calculator?

You can find the GCD of 660, 775, 850, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.