GCD of 777, 310, 20, 294 Calculator

Given Input numbers are 777, 310, 20, 294

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 777, 310, 20, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 310, 20, 294 is 1.

Therefore, GCD of numbers 777, 310, 20, 294 is 1

Given Input Data is 777, 310, 20, 294

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(777, 310) = 240870

GCD(777, 310) = ( 777 x 310 ) / 240870

GCD(777, 310) = 240870 / 240870

GCD(777, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 777, 310, 20, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 195, 50, 563
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• GCD of 880, 764, 88, 520
• GCD of 761, 848, 86, 901
• GCD of 780, 939, 52, 569

1. What is the GCD of 777, 310, 20, 294?

GCD of 777, 310, 20, 294 is 1

2. Where do I get the detailed procedure to find GCD of 777, 310, 20, 294?

You can find a detailed procedure to find GCD of 777, 310, 20, 294 on our page.

3. How to find GCD of 777, 310, 20, 294 on a calculator?

You can find the GCD of 777, 310, 20, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.