GCD of 778, 312, 21, 417 Calculator

Given Input numbers are 778, 312, 21, 417

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 778, 312, 21, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 312, 21, 417 is 1.

Therefore, GCD of numbers 778, 312, 21, 417 is 1

Given Input Data is 778, 312, 21, 417

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 417 is 3 x 139

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(778, 312) = 121368

GCD(778, 312) = ( 778 x 312 ) / 121368

GCD(778, 312) = 242736 / 121368

GCD(778, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 778, 312, 21, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 628, 42, 711
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• GCD of 919, 648, 52, 998
• GCD of 228, 129, 94, 662
• GCD of 701, 779, 60, 865

1. What is the GCD of 778, 312, 21, 417?

GCD of 778, 312, 21, 417 is 1

2. Where do I get the detailed procedure to find GCD of 778, 312, 21, 417?

You can find a detailed procedure to find GCD of 778, 312, 21, 417 on our page.

3. How to find GCD of 778, 312, 21, 417 on a calculator?

You can find the GCD of 778, 312, 21, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.