GCD of 78, 550, 309, 641 Calculator

Given Input numbers are 78, 550, 309, 641

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Greatest Common Divisior

We found the divisors of 78, 550, 309, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 550, 309, 641 is 1.

Therefore, GCD of numbers 78, 550, 309, 641 is 1

Given Input Data is 78, 550, 309, 641

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 309 is 3 x 103

Prime Factorization of 641 is 641

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(78, 550) = 21450

GCD(78, 550) = ( 78 x 550 ) / 21450

GCD(78, 550) = 42900 / 21450

GCD(78, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 641

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

LCM(1, 641) = 641

GCD(1, 641) = ( 1 x 641 ) / 641

GCD(1, 641) = 641 / 641

GCD(1, 641) = 1

GCD of 78, 550, 309, 641 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 573, 461, 308
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• GCD of 44, 175, 651, 723
• GCD of 70, 788, 524, 274
• GCD of 76, 192, 576, 980

1. What is the GCD of 78, 550, 309, 641?

GCD of 78, 550, 309, 641 is 1

2. Where do I get the detailed procedure to find GCD of 78, 550, 309, 641?

You can find a detailed procedure to find GCD of 78, 550, 309, 641 on our page.

3. How to find GCD of 78, 550, 309, 641 on a calculator?

You can find the GCD of 78, 550, 309, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.