GCD of 78, 342, 450, 520 Calculator

Given Input numbers are 78, 342, 450, 520

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 78, 342, 450, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 342, 450, 520 is 2.

Therefore, GCD of numbers 78, 342, 450, 520 is 2

Given Input Data is 78, 342, 450, 520

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 342 is 2 x 3 x 3 x 19

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 342) = 4446

GCD(78, 342) = ( 78 x 342 ) / 4446

GCD(78, 342) = 26676 / 4446

GCD(78, 342) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 450

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

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

GCD(6, 450) = 2700 / 450

GCD(6, 450) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 520

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

LCM(6, 520) = 1560

GCD(6, 520) = ( 6 x 520 ) / 1560

GCD(6, 520) = 3120 / 1560

GCD(6, 520) = 2

GCD of 78, 342, 450, 520 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 117, 264, 967
• GCD of 47, 566, 319, 544
• GCD of 79, 375, 607, 204
• GCD of 68, 766, 187, 540
• GCD of 11, 303, 265, 525

1. What is the GCD of 78, 342, 450, 520?

GCD of 78, 342, 450, 520 is 2

2. Where do I get the detailed procedure to find GCD of 78, 342, 450, 520?

You can find a detailed procedure to find GCD of 78, 342, 450, 520 on our page.

3. How to find GCD of 78, 342, 450, 520 on a calculator?

You can find the GCD of 78, 342, 450, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.