GCD of 420, 780, 68, 200 Calculator

Given Input numbers are 420, 780, 68, 200

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 420, 780, 68, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 780, 68, 200 is 4.

Therefore, GCD of numbers 420, 780, 68, 200 is 4

Given Input Data is 420, 780, 68, 200

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(420, 780) = 5460

GCD(420, 780) = ( 420 x 780 ) / 5460

GCD(420, 780) = 327600 / 5460

GCD(420, 780) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 68

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

LCM(60, 68) = 1020

GCD(60, 68) = ( 60 x 68 ) / 1020

GCD(60, 68) = 4080 / 1020

GCD(60, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 200

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

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

GCD(4, 200) = 800 / 200

GCD(4, 200) = 4

GCD of 420, 780, 68, 200 is 4

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1. What is the GCD of 420, 780, 68, 200?

GCD of 420, 780, 68, 200 is 4

2. Where do I get the detailed procedure to find GCD of 420, 780, 68, 200?

You can find a detailed procedure to find GCD of 420, 780, 68, 200 on our page.

3. How to find GCD of 420, 780, 68, 200 on a calculator?

You can find the GCD of 420, 780, 68, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.